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Differentiation

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Question 588

A robotic arm's radial extension sss is modeled by the function:

s=3θ6sin⁡(4θ) s = \frac{3\theta^6}{\sin(4\theta)} s=sin(4θ)3θ6​

where θ\thetaθ is the joint angle in radians, for 0<θ<π40 < \theta < \frac{\pi}{4}0<θ<4π​.

Find the exact expression for dsdθ\frac{ds}{d\theta}dθds​.

[4]
Markscheme

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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