3.6.5 Differentiation (A-level only)

The volume $V$ , in cubic centimetres, of a gas within a high-pressure bellows pump is modelled by the function

\frac{4000}{(2t - 1)^3}, \quad t > 0.5

where $t$ is the time in seconds.

Determine the equation of the tangent to the curve $V (t)$ at the instant $t = 1.5$ . Give your answer in the form $V = m t + c$ .

[4]

3.6.5 Differentiation (A-level only) Questions

The volume $V$ , in cubic centimetres, of a gas within a high-pressure bellows pump is modelled by the function

\frac{4000}{(2t - 1)^3}, \quad t > 0.5

where $t$ is the time in seconds.

Determine the equation of the tangent to the curve $V (t)$ at the instant $t = 1.5$ . Give your answer in the form $V = m t + c$ .

[4]