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1.9.14 Chain rule (A-level only)

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Question 14

A curve has the equation 4sin⁡x+4cos⁡y=24 \sin x + 4 \cos y = 24sinx+4cosy=2 where 0≤x≤π 0 \leq x \leq \pi\,0≤x≤π and 0≤y≤π0 \leq y \leq \pi0≤y≤π.

a.

Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy​

[3]
b.

Find the coordinates of the point where dydx=0\displaystyle \frac{dy}{dx} = 0dxdy​=0

[4]

1.9.14 Chain rule (A-level only) Questions

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