1.7.18 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 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68

Question 66

The curve $C$ has equation

y = (x^3 - 7)^4

a.

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

[2]

b.

The point $P (2, 1)$ 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 $a, b$ and $c$ are integers to be found.

[4]

1.7.18 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 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68

Question 66

The curve $C$ has equation

y = (x^3 - 7)^4

a.

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

[2]

b.

The point $P (2, 1)$ 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 $a, b$ and $c$ are integers to be found.

[4]

1.7.18 Chain rule (A-level only)

Question 66

1.7.18 Chain rule (A-level only) Questions

1.7.18 Chain rule (A-level only)

Question 66

1.7.18 Chain rule (A-level only) Questions