Find all values of for which the function f(x)=(a^2-3a+2) ( x 2 )+(a-1)x possesses…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Find all values of

a

for which the function

f(x)=(a^2-3a+2)\cos\left(\frac{x}{2}\right)+(a-1)x

possesses critical points.