# Higher Maths Differentiation Homework Sheets

**PLP**

PLP-for-Higher Maths

**Revision Resources**

Higher-Revision-Pack-1

Higher-Revision-Pack-2

**Scholar Resources**

Scholar Book 1

Scholar Book 2

Scholar Book 3

**Homework Exercises**

BP01 Basic Skills and Straight Line

BP02 Basic Skills and Straight Line

BP03 Straight Line and Functions

BP04 Basic Skills, Straight Line, Functions

BP05 Straight Line, Functions, Differentiation

BP06 Functions and Differentiation

BP07 Functions, Differentiation and RR

BP08 Str Line, Functions, Diff and RR

BP09 Str Line, Diff and RR

BP10 Differentiation and Quadratic Theory

BP11 Basic Skills and Quadratic Theory

BP12 Basic Skills, Diff, Quad Theory and Rem Theorem

BP13 Func, Sequences, Rem Theorem & Integration

BP14 Trig, Diff, RR & Integration

BP15 Trig, Polynomials, Quad, Diff, RR, Int

BP16 revision

BP17 Circle, Trig, Int, Quads, Polynomials

BP18 Revision

BP19 Revision

BP20 Vectors and Revision

BP21 Vectors, Further Differentiation and Revision

BP22 Further Calculus, Vectors and Revision

BP23 Wave, Further Calculus, Vectors and Revision

BP24 Wave, Further Calculus, Vectors and Revision

BP25 Wave,Further Calculus, Vectors, Logs & Exponentials

**NAR Preparation**

Task_a_booklet

Task_b_booklet

Task_c_booklet

**Useful Websites**

SQA Website

SQA Past Paper Topics

SQA Past Papers

mathsrevision.com

Prestwick Academy

HSN

Queen Anne High School

Millburn Academy

## Chain rule

This is the chain rule:

The chain rule is used to differentiate a function of a function of a variable, for example, . You can think of this as where

In practice, it is not necessary to introduce the variable *u*, at all. It is much easier just to think of differentiating the bracket raised to the power of a half with respect to the bracket, then differentiate the bracket with respect to *x*.

In other words, the first step is 'the bracket raised to the power of a half becomes a half times the bracket raised to the power of negative a half'.

Thus

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## Comments