AQA A Level Maths: Pure复习笔记7.3.2 Differentiating Other Functions (Trig, ln & e etc)

Differentiating Other Functions (Trig, ln & e etc)

How do I differentiate common functions?

  • These are the common results

How do I differentiate exponentials and logarithms?

  • The two basic differentiation formulae are:

7.3.2-Diff-Other-Funct-Illustr-1

  • From those basic formulae are derived these two additional formulae:

7.3.2-Diff-Other-Funct-Illustr-2_forms

7.3.2-Diff-Other-Funct-Illustr-2_derivs

  • And for exponentials more generally:

7.3.2-Diff-Other-Funct-Illustr-3-1

  • This last formula can be derived from Formula 3 by using the chain rule

Exam TipWorked Example

7.3.2-Diff-Other-Funct-Example

 

 

 

 

 

 

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