1.9.14 Chain rule (A-level only)

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Question 42

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

y = (5x - 14)^4

a.

Find $dydx\dfrac{dy}{dx}$ .

[2]

b.

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

[4]

1.9.14 Chain rule (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 42

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

y = (5x - 14)^4

a.

Find $dydx\dfrac{dy}{dx}$ .

[2]

b.

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

[4]

1.9.14 Chain rule (A-level only)

Question 42

1.9.14 Chain rule (A-level only) Questions

1.9.14 Chain rule (A-level only)

Question 42

1.9.14 Chain rule (A-level only) Questions