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1.7.18 Chain rule (A-level only)

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Question 60

The surface profile of a high-precision optical lens is modeled by the curve C C\,C with equation

y=(5x−14)4 y = (5x - 14)^4 y=(5x−14)4
a.

Find dydx\dfrac{dy}{dx}dxdy​.

[2]
b.

The point P(3,1)P(3, 1)P(3,1) lies on CCC. Find the equation of the normal to C C\,C at PPP. Write your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where a,b a, b\,a,b and c c\,c are integers to be found.

[4]

1.7.18 Chain rule (A-level only) Questions

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