A scientist models the activity, AAA MBq, of a radioactive isotope over time, ttt days, using the equation
A=(15t+2)e−0.4t,t≥0 A = (15t + 2)e^{-0.4t}, \quad t \ge 0 A=(15t+2)e−0.4t,t≥0Find, using calculus, the exact value of ttt for which the activity is stationary.
333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.