9.3 The Chain Rule

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 44

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]

9.3 The Chain Rule

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 44

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]

9.3 The Chain Rule

Question 44

Markscheme

9.3 The Chain Rule

Question 44

Markscheme

9.3 The Chain Rule

Question 44

9.3 The Chain Rule Questions

9.3 The Chain Rule

Question 44

9.3 The Chain Rule Questions