Question

find the derivative of ( f(x) ).
( f(x)=7^{x} )
( f^{prime}(x)= )

Explanation:

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

The derivative of \(y = a^x\) with respect to \(x\) is \(y'=a^x\ln a\) (where \(a>0,a
eq1\)). In the function \(f(x)=7^x\), \(a = 7\).

Step2: Apply the formula

Substitute \(a = 7\) into the formula \(y'=a^x\ln a\). So \(f'(x)=7^x\ln7\).

Answer:

\(7^x\ln7\)