Solveeit Logo

Question

Mathematics Question on Limits

If f(x)={ex,if x1 mx+6,if x>1f(x) = \begin{cases} e^x, & \text{if}\ x\leq1 \\\ mx+6, & \text{if}\ x\gt1 \end{cases} be differentiable at x=1. Then the value of m is

A

6

B

e

C

-6

D

-e

E

1

Answer

e

Explanation

Solution

The correct option is (B): e