Find the points at which the function given by has

MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

10. Find the points at which the function

f

given by

f(x)=(x-2)^{4}(x+1)^{3}

has (i) local maxima (ii) local minima (iii) point of inflexion