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

Explanation

f(x)=`x^(2)+(1)x^(2)`
`f(x)=2x-(2)/(x^(3))`
Let f(x) =0 Then `x^(4)=1 pm r x=pm1`
Also f(x) = `2+(6)/(x^(4))gt0 forall xne0`
Thus both the points ,x =1 and x=-1 are the points of minima.