The volume VVV, in cubic centimetres, of a gas within a high-pressure bellows pump is modelled by the function
V(t)=4000(2t−1)3,t>0.5 V(t) = \frac{4000}{(2t - 1)^3}, \quad t > 0.5 V(t)=(2t−1)34000,t>0.5where ttt is the time in seconds.
Determine the equation of the tangent to the curve V(t)V(t)V(t) at the instant t=1.5t = 1.5t=1.5. Give your answer in the form V=mt+cV = mt + cV=mt+c.
133 exam-style questions on WJEC A Level Maths 3.6.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.