Given that y=4xy = 4^xy=4x show that dydx=4xln4\displaystyle \frac{dy}{dx} = 4^x \ln 4dxdy=4xln4
Find the equation to the tangent of the curve y=2(2x2)y = 2^{(2x^2)}y=2(2x2) at the point (1,4)(1, 4)(1,4)
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.