Mathematics - Functions Question with Solution | TestHub

Putting $\tan x=t$, we get $f(t)$ is a polynomial function of the form, $f(t)=\pm t^n+1$ When $\mathrm{t}=2,f(2)=9\Rightarrow n=3\therefore f(t)=t^3+1$

$$f^{\prime }(2)=12\therefore \frac{f^{\prime }(2)}{6}=2$$