The displacement, sss millimetres, of a robotic arm at time ttt seconds is given by the equation
s=(0.35t−4.2)e0.4t s = (0.35t - 4.2) e^{0.4t} s=(0.35t−4.2)e0.4tDetermine, using calculus, the exact value of ttt for which the displacement has a stationary point.
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.