Question

If f(x)=x4-4x3+4x2-1 then find the set of values of x for which the derivative is equal to zero which

Answer 1

f(x)=x⁴-4x³+ 4x² -1

=>df(x)/dx=4x³-12x² +8x

if derivative is 0

=>4x³-12x² +8x=0

=>x(4x²-12x +8)=0

=>x=0 or 4x²-12x +8=0

=>x=0 or (x-8)(x-4)=0

=>x=0,4,8