Course home

1.10 G: Differentiation

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 69 70

Question 30

The curve $C$ has equation

3y^{2} + 2xy^{2} = 12(3^{x}) + 15, \quad y > 0

Find an expression for $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[6]

Curve $C$ cuts the $y$ -axis at the point $P$ .

Find the exact value of the gradient of the tangent to $C$ at $P$ .

[4]

Markscheme

1.10 G: Differentiation Questions

A Level
Maths
1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank