Question

find the derivative of ( f(x) ).
( f(x)=10^{x} )
( f^{prime}(x)= )

Explanation:

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

The derivative of \(y = a^x\) is \(y^\prime=a^x\ln a\), where \(a>0,a
eq1\). In the function \(f(x)=10^x\), \(a = 10\).

Step2: Apply the formula

Substitute \(a = 10\) into the formula \(f^\prime(x)=a^x\ln a\). So \(f^\prime(x)=10^x\ln10\).

Answer:

\(10^x\ln10\)