What is the derivative of ab^x ?

The derivative of ab^x is ab^xln(b)

What is the first derivative of ab^x ?

The first derivative of ab^x is ab^xln(b)

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\frac{d}{d x} (a b^{x})

a b^{x} ln (b)

Solution steps

\frac{d}{d x} (a b^{x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the derivative exponent rule:

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

= a b^{x} ln (b)

What is the derivative of ab^x ?
The derivative of ab^x is ab^xln(b)
What is the first derivative of ab^x ?
The first derivative of ab^x is ab^xln(b)