A model for the height, hhh metres, of a fast-growing bamboo pole ttt weeks after it is planted is given by h=1.2+4ln(2t+1)h = 1.2 + 4 \ln(2t + 1)h=1.2+4ln(2t+1), for t≥0t \ge 0t≥0. Determine the exact rate of growth of the bamboo pole, in metres per week, at the instant when the height of the pole is 9.29.29.2 metres.
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.