Click on the rectangle to open the What is Differentiation? Study Guide

A guide describing the meaning and language of differentiation.

Differentiation using the Power Rule Webcast

Click on the rectangle to open the Differentiation using the Power Rule Study Guide

Click on the rectangle to open the Differentiation using the Power Rule Worksheet

Click on the rectangle to open the Differentiation using the Power Rule Model Answers

Resources describing the first major rule of differentiation which finds the derivatives of power functions such as polynomial, reciprocal and roots.

Differentiating Basic Functions Webcast

Click on the rectangle to open the Differentiating Basic Functions Study Guide

Click on the rectangle to open the Differentiating Basic Functions Worksheet

Click on the rectangle to open the Differentiating Basic Functions Model Answers

**Chain Rule**

Chain Rule Webcast

Click on the rectangle to open the Chain Rule Study Guide

Click on the rectangle to open the Chain Rule

Worksheet

Click on the rectangle to open the Chain Rule Model Answers

The chain rule is a method for differentiating composite functions.

Product Rule

Product Rule Webcast

Click on the rectangle to open the Product Rule Study Guide

Click on the rectangle to open the Product Rule Worksheet

Click on the rectangle to open the Product Rule Model Answers

The product rule is a method for differentiating product functions.

Quotient Rule

Quotient Rule Webcast

Click on the rectangle to open the Quotient Rule Study Guide

The quotient rule is a method for differentiating quotient functions.

**Definite**

Integrals

Integrals

Standard

Integrals

A list of fundamental integrals and rules for integrating.

Click on the rectangle to open the Sketching a Graph

Study Guide

Methods you should try to help you sketch a graph.

Five Basic Functions

Five Basic Functions

Webcast

Click on the rectangle to open the Five Basic Functions Factsheet

A factsheet with the properties of the five basic functions power, sine, cosine, exponential and logarithm.

Differentiating Basic Functions

Resources to help you find the derivative of five basic functions: power, sine, cosine, exponential and natural logarithm.

Standard

Derivatives

Standard

Derivatives Webcast

Click on the rectangle to open the Standard

Derivatives

Factsheet

A list of fundamental derivatives and rules of differentiation.

Indices are superscripts which mathematicians use as shorthand to describe how variables and numbers are multiplied together.

Laws of Indices Webcast

Click on the rectangle to open the Laws of Indices Study Guide

Click on the rectangle to open the Laws of Indices Worksheet

Click on the rectangle to open the Laws of Indices Model Solutions

Differentiation using the Power Rule

These resources describe how to use limits in integrals to find values which often correspond to an area.

**Sketching a Graph**

Sketching a Graph

Webcast

Definite

Integrals Webcast

Click on the rectangle to open the Definite

Integrals Study Guide

Click on the rectangle to open the Integration using the Power Rule Study Guide

Integration using the Power Rule

Webcast

Click on the rectangle to open the Integration using the Power Rule

Model Answers

Click on the rectangle to open the Integration using the Power Rule

Worksheet

**What is Integration?**

Click on the rectangle to open the What is Integration? Study Guide

Click on the rectangle to open the What is Integration? Worksheet

What is Integration? Webcast

Click on the rectangle to open the What is Integration? Model Answers

Integrating Basic Functions Webcast

Integrating Basic Functions

Click on the rectangle to open the Integrating Basic Functions

Study Guide

Integration and Natural Logarithms Webcast

A substitution method in integration which integrates a function which has a numerator which is the derivative of its denominator.

Click on the rectangle to open the Integration and Natural Logarithms Model Answers

Click on the rectangle to open the Integration and Natural Logarithms Worksheet

Integration and Natural Logarithms

Click on the rectangle to open the Integration and Natural Logarithms Study Guide

A method in integration which can be used to integrate some product functions.

Click on the rectangle to open the Integration by Parts Study Guide

Integration by

Parts Webcast

Integration by Parts

Click on the rectangle to open the Standard

Integrals Factsheet

Standard

Integrals Webcast

Resources to help you integrate five basic functions: power, sine, cosine, exponential and reciprocal.

The first major rule of integration helps you find the integral of a power function such as polynomials, reciprocals and roots.

Resources describing the meaning, symbols and language of integration.

**Steps Into Calculus**

Mind Map

Mind Map

What is Differentiation?

Laws of Indices

Integration using the

Power Rule

More Complicated Functions Webcast

Click on the rectangle to open the More Complicated Functions Study Guide

Click on the rectangle to open the More Complicated Functions Worksheet

Click on the rectangle to open the More Complicated Functions

Model Answers

Resources about construction more complicated function from more simple ones. This helps in choosing a rule for differentiation.

More Complicated Functions

Using This

Mind Map

Click on the rectangle below to open a document to help you get the most out of this Mind Map

https://portal.uea.ac.uk/documents/6207125/8199642/steps+into+calculus+what+is+differentiation.pdf

https://portal.uea.ac.uk/documents/6207125/8199648/steps+into+calculus+differentiating+basic+functions+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199648/steps+into+calculus+differentiating+basic+functions+model+answers.pdf

https://portal.uea.ac.uk/documents/6207125/8199648/steps+into+calculus+differentiating+basic+functions.pdf

https://portal.uea.ac.uk/documents/6207125/8325203/steps+into+calculus+standard+derivatives+factsheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199651/steps+into+calculus+the+chain+rule+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199651/steps+into+calculus+the+chain+rule.pdf

https://portal.uea.ac.uk/documents/6207125/8199657/steps+into+calculus+the+quotient+rule.pdf

https://portal.uea.ac.uk/documents/6207125/8199654/steps+into+calculus+the+product+rule.pdf

https://portal.uea.ac.uk/documents/6207125/8199654/steps+into+calculus+the+product+rule+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199654/steps+into+calculus+the+product+rule+model+answers.pdf

https://portal.uea.ac.uk/documents/6207125/8198422/bridging+algebra+calculus+more+complicated+functions.pdf

https://portal.uea.ac.uk/documents/6207125/8198422/bridging+algebra+calculus+more+complicated+functions+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8198422/bridging+algebra+calculus+more+complicated+functions+model+answers.pdf

https://portal.uea.ac.uk/documents/6207125/8199645/steps+into+calculus+differentiating+using+the+power+rule+model+answers.pdf

https://portal.uea.ac.uk/documents/6207125/8199645/steps+into+calculus+differentiating+using+the+power+rule+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199645/steps+into+calculus+differentiating+using+the+power+rule.pdf

https://portal.uea.ac.uk/documents/6207125/8194846/steps+into+algebra+laws+of+indices+model+answers.pdf

https://portal.uea.ac.uk/documents/6207125/8194846/steps+into+algebra+laws+of+indices+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8194846/steps+into+algebra+laws+of+indices.pdf

https://portal.uea.ac.uk/documents/6207125/8199669/steps+into+calculus+what+is+integration.pdf

https://portal.uea.ac.uk/documents/6207125/8199669/steps+into+calculus+what+is+integration+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199669/steps+into+calculus+what+is+integration+model+answers.pdf

https://portal.uea.ac.uk/documents/6207125/8198428/bridging+algebra+calculus+sketching+a+graph.pdf

https://portal.uea.ac.uk/documents/6207125/8199685/steps+into+calculus+integrating+basic+functions.pdf

http://www.uea.ac.uk/services/students/let/study_resources/maths_stats/mathematics/calculus/standard_integrals_factsheet

https://portal.uea.ac.uk/documents/6207125/8199724/steps+into+calculus+integration+by+parts.pdf

https://portal.uea.ac.uk/documents/6207125/8199714/steps+into+calculus+integration+and+natural+logarithms.pdf

https://portal.uea.ac.uk/documents/6207125/8199714/steps+into+calculus+integration+and+natural+logarithms+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199714/steps+into+calculus+integration+and+natural+logarithms+model+answers.pdf

https://portal.uea.ac.uk/documents/6207125/8199672/steps+into+calculus+integrating+using+the+power+rule.pdf

https://portal.uea.ac.uk/documents/6207125/8199682/steps+into+calculus+definite+integrals.pdf

https://portal.uea.ac.uk/documents/6207125/8124756/Interactive+mind+map+guide.pdf

https://portal.uea.ac.uk/documents/6207125/8199672/steps+into+calculus+integrating+using+the+power+rule+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199672/steps+into+calculus+integrating+using+the+power+rule+model+answers.pdf

Click on the rectangle to open the Quotient Rule Worksheet

https://portal.uea.ac.uk/documents/6207125/8199657/steps+into+calculus+the+quotient+rule+worksheet.pdf

Click on the rectangle to open the Quotient Rule Model Answers

https://portal.uea.ac.uk/documents/6207125/8199657/steps+into+calculus+the+quotient+rule+model+answers.pdf

Click on the rectangle to open the Integrating Basic Functions

Worksheet

https://portal.uea.ac.uk/documents/6207125/8199685/steps+into+calculus+integrating+basic+functions+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199685/steps+into+calculus+integrating+basic+functions+model+answers.pdf

Click on the rectangle to open the Integrating Basic Functions

Model Answers

Stationary Points Webcast

Click on the rectangle to open the Stationary Points Study Guide

Stationary Points

A great use of differentiation is finding maximums, minimums and points of inflexion. These are described in this guide.

Finding Stationary Points Webcast

Click on the rectangle to open the Finding Stationary Points Study Guide

Click on the rectangle to open the Finding Stationary Points Worksheet

Click on the rectangle to open the Finding Stationary Points Model Answers

Finding Stationary Points

These resources describe how you can use differentiation to find and identify stationary points on graphs.

https://portal.uea.ac.uk/documents/6207125/8199660/steps+into+calculus+stationary+points.pdf

https://portal.uea.ac.uk/documents/6207125/8199663/steps+into+calculus+finding+stationary+points.pdf

https://portal.uea.ac.uk/documents/6207125/8199663/steps+into+calculus+finding+stationary+points+worksheet.pdf

https://portal.uea.ac.uk/documents/6207125/8199663/steps+into+calculus+finding+stationary+points+model+answers.pdf

Using Trigonometric formulas in Integration

Using certain trigonometric formulas, such as double angle formulas, can significantly simplify some integrations.

Click on the rectangle to open the Using Trigonometric Formulas in Integration Study Guide

https://portal.uea.ac.uk/documents/6207125/8199695/steps+into+calculus+using+trigonometric+formulas+in+integration.pdf

The Differential Operator

You can think of differentiation as the application of an operator to function. This guide explains this idea in more depth.

Click on the rectangle to open the Differential Operator Study Guide

https://portal.uea.ac.uk/documents/6207125/8199666/steps+into+calculus+the+differential+operator.pdf

Implicit Differentiation

Often functions are more complicated than those you can differentiate using the basic rules. This guide looks at how to find the derivative of implicit functions.

Click on the rectangle to open the Implicit Differentiation Study Guide

https://portal.uea.ac.uk/documents/6207125/8321840/steps+into+calculus+implicit+differentiation.pdf

Basics of Partial Differentiation

Many functions have more than one variable as inputs. This guide looks at how to find the derivative of these functions. This process is called partial differentiation

Click on the rectangle to open the Basics of Partial Differentiation Study Guide

https://portal.uea.ac.uk/documents/6207125/8322032/steps+into+calculus+basics+partial+differentiation.pdf

Differential Operator Webcast

Implicit Differentiation webcast

Basics of Partial Differentiation Webcast

Using Trigonometric Formulas in Integration Webcast

https://portal.uea.ac.uk/documents/6207125/8199651/steps+into+calculus+the+chain+rule+model+answers.pdf

https://portal.uea.ac.uk/documents/6207125/8221205/bridging+algebra+calculus+five+basic+functions+factsheet.pdf