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3.6 Differentiation (A-level only)

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Question 14

A research probe measures the signal intensity I I\,I at a distance x x\,x from a source. The intensity is modeled by the function

I=54x4−485x+500+32x2x≠0 I = 54x^4 - 485x + 500 + \frac{32}{x^2} \quad x \neq 0 I=54x4−485x+500+x232​x=0
a.

Find dIdx\displaystyle \frac{dI}{dx}dxdI​.

[3]
b.

Hence find the coordinates of the stationary points of the curve.

[6]
Markscheme

3.6 Differentiation (A-level only) Questions

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

332 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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