find the derivative of y with respect to x for y = 11^x. dy/dx = □

Explanation:

Step1: Recall derivative formula

The derivative of $a^x$ with respect to $x$ is $a^x\ln(a)$. Here $a = 11$.

Step2: Apply the formula

For $y = 11^x$, $\frac{dy}{dx}=11^x\ln(11)$.

Answer:

$11^x\ln(11)$