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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 13

Given that x x\,x is measured in radians, prove, from first principles, that the derivative of sin⁡x \sin x\,sinx is cos⁡x\cos xcosx.

You may assume the formula for sin⁡(A±B)\sin(A \pm B)sin(A±B), and that as h→0h \to 0h→0, sin⁡hh→1\dfrac{\sin h}{h} \to 1hsinh​→1 and cos⁡h−1h→0\dfrac{\cos h - 1}{h} \to 0hcosh−1​→0.

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3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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