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.
717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.