Question

If $y=e^{3x+7}$, then the value of $\frac{dy}{dx} \bigg|_{x=0}$ is

• A. $1$
• B. $0$
• C. $-1$
• D. $3e^7$

Answer 1

Answer: (D)

$3e^7$

Answer 2

$\because y=e^{3x+7}\Rightarrow \frac{dy}{dx}=3e^{3x+7}$ $\therefore \frac{dy}{dx}\bigg|_{x=0}=3e^{3\times0+7}=3e^{7}$