Question

find the derivative of ( f(x) ).

( f(x)=6^{x} )

( f^{prime}(x)= )

Explanation:

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

The derivative of \(a^x\) with respect to \(x\) is \(a^x\ln(a)\). Here \(a = 6\).

Step2: Substitute \(a = 6\) into the formula

\(f(x)=6^x\), so \(f^{\prime}(x)=6^x\ln(6)\)

Answer:

\(6^x\ln(6)\)