Question

find the derivative of ( f(x) ).

( f(x)=9^{x} )

( f^{prime}(x)= )

Explanation:

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

The derivative of \(y = a^x\) is \(y'=a^x\ln a\), where \(a>0,a
eq1\).

Step2: Identify \(a\) in the function \(f(x)=9^x\)

Here \(a = 9\).

Step3: Apply the formula

Substitute \(a = 9\) into the formula \(y'=a^x\ln a\). So \(f'(x)=9^x\ln9\).

Answer:

\(9^x\ln9\)