1.9.14 Chain rule (A-level only)

The population $N$ (in thousands) of a specific bacterial culture is modeled by the function

\frac{1}{4}(t^3 - 7)^4, \quad t \ge 2

where $t$ is the time in hours since the start of the observation.

Determine the equation of the tangent to the curve $N (t)$ at the point where $t = 2$ .

[4]

The population $N$ (in thousands) of a specific bacterial culture is modeled by the function

\frac{1}{4}(t^3 - 7)^4, \quad t \ge 2

where $t$ is the time in hours since the start of the observation.

Determine the equation of the tangent to the curve $N (t)$ at the point where $t = 2$ .

[4]

1.9.14 Chain rule (A-level only) Questions