A curve has equation
y4e2x+2y−32x=k y^4 e^{2x} + 2y - 32x = k y4e2x+2y−32x=kwhere k k\,k is a constant. The curve has a stationary point on the yyy-axis. Determine the possible values of kkk.
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.