Differentiation

Nathpoop SG

How to I solve this qns,
The function f(x) = x^{3 + px}2 + qx + r has a min value of -2 at the point x=3 and a max value at x=-1. Find the values of p, q and r.
Thanks!

wee_ws SG

Hi,

There are 3 unknowns p, q and r, so we need to form 3 equations using the information we are given, i.e.,

1. f(3) = -2,

2. f'(-1) = 0,

3. f'(3) = 0.

Thanks.

Cheers,
Wen Shih