1. Tardigrade
  2. Question
  3. Mathematics
  4. If y=e3x+7, then the value of (dy/dx) |x=0 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

Continuity and Differentiability

Solution:

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