What is the derivative of f(x)=5^x ?

The derivative of f(x)=5^x is 5^xln(5)

What is the first derivative of f(x)=5^x ?

The first derivative of f(x)=5^x is 5^xln(5)

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derivative

5^{x} ln (5)

Solution steps

\frac{d}{d x} (5^{x})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= 5^{x} ln (5)

What is the derivative of f(x)=5^x ?
The derivative of f(x)=5^x is 5^xln(5)
What is the first derivative of f(x)=5^x ?
The first derivative of f(x)=5^x is 5^xln(5)