Find the points at which the function f given by `f(x) =(x-2)^(4)(x+1)^(3)` has
local maxima
(ii)local minima
point of inflection.

Explanation

The given function is f(x)=`(x-2)^4(x+1)^3`


`therefore f'(x)=(x-2)^3(x+1)^2(7x-2)`


`therefore` If f'(x)=0, then `x=-1, x=2, x=frac{2}{7}`



Now, At x=2,
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