Question

find the derivative of y with respect to x.
y = 19^x
\frac{dy}{dx}=\square

Explanation:

Step1: Recall the formula for derivative of \(a^x\)

The derivative of \(y = a^x\) with respect to \(x\) is \(\frac{dy}{dx}=a^x\ln a\), where \(a>0,a
eq1\). In the given function \(y = 19^x\), here \(a = 19\).

Step2: Apply the formula

Substitute \(a = 19\) into the formula \(\frac{dy}{dx}=a^x\ln a\). So \(\frac{dy}{dx}=19^x\ln 19\)

Answer:

\(19^x\ln 19\)