Question

If f(x) = {(e^x + ax, x < 0), (b(x - 1)², x ≥ 0) is differentiable at x = 0, then (a, b) is 

(A) (-3, -1) 

(B) (-3, 1) 

(C) (3, 1) 

(D) (3, -1)

Answer 1

Answer is (B) (-3, 1)

Given f(x) is differentiable at x = 0.

Hence, f(x) will be continuous at x = 0.

Therefore,