What is the derivative of f(x)=3^x ?

The derivative of f(x)=3^x is 3^xln(3)

What is the first derivative of f(x)=3^x ?

The first derivative of f(x)=3^x is 3^xln(3)

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derivative

3^{x} ln (3)

Solution steps

\frac{d}{d x} (3^{x})

Apply the derivative exponent rule:

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

= 3^{x} ln (3)

What is the derivative of f(x)=3^x ?
The derivative of f(x)=3^x is 3^xln(3)
What is the first derivative of f(x)=3^x ?
The first derivative of f(x)=3^x is 3^xln(3)