Question: If f (x) = $\int_{0}^{x}{(t + 1)}$ (e<sup>t</sup> –1) (t – 2) (t + 4) dt then f (x) would assume t...

Question

If f (x) = $\int_{0}^{x}{(t + 1)}$ (e^t –1) (t – 2) (t + 4) dt then f (x) would assume the local minima at

Answer 1

Here, $f'(x)$ = (x + 1) (e^x – 1) (x – 2) (x + 4)

Clearly x = –1 and x = 2 are the points of local minima

Question: If f (x) = \(\int_{0}^{x}{(t + 1)}\) (e<sup>t</sup> –1) (t – 2) (t + 4) dt then f (x) would assume t...