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1.10 G: Differentiation

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Question 103
a.

Given that y=2xy = 2^xy=2x show that dydx=2xln⁡2\displaystyle \frac{dy}{dx} = 2^x \ln 2dxdy​=2xln2

[2]
b.

Find the equation to the tangent of the curve y=3(x2)y = 3^{(x^2)}y=3(x2) at the point (2,81)(2, 81)(2,81)

[4]

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank