Q. If $y = e^{3 x + 7}$ , then the value of $\frac{d y}{d x} ∣ ∣_{x = 0}$ is

7891 184 Continuity and Differentiability Report Error

A

$1$

11%

B

$0$

15%

C

$- 1$

10%

D

$3 e^{7}$

63%

Solution:

$∵ y = e^{3 x + 7} \Rightarrow \frac{d y}{d x} = 3 e^{3 x + 7}$
$∴ \frac{d y}{d x} ∣ ∣_{x = 0} = 3 e^{3 \times 0 + 7} = 3 e^{7}$