The function $f(x)=\left\{\begin{array}{ll}e^x+a x & , x<0 \\ b(x-1)^2 & , x \geq 0\end{array}\right.$ is differentiable at $x=0$. Then
- A$a=1, b=1$
- B$a=3, b=1$
- C$a=-3, b=1$
- D$a=3, b=-1$
✓ Correct answer: C
Want the full step-by-step reasoning?