A curve has equation y=2x3+5x2−7x+10y = 2x^3 + 5x^2 - 7x + 10y=2x3+5x2−7x+10
Find dydx\dfrac{dy}{dx}dxdy.
Find the gradient of the curve when x=2x = 2x=2.
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.