let f(x) = x2 - 3x then prove that it is not differentiable at 3/2 - Maths - Continuity and Differentiability

Question

let f(x) = x2 - 3x then prove that it is not
differentiable at 3/2

Ajanta Trivedi · Accepted Answer

if the given function is
f(x)=x2-3xf'(x)=2x-3f'(3/2)=2*32-3=0
therefore f '(x) vaishes at x=3/2
but it is differentiable at x= 3/2

hope this helps you

let f(x) = x2 - 3x . then prove that it is not differentiable at 3/2.