What is the derivative of a*b^x ?

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

What is the first derivative of a*b^x ?

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

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\frac{d}{d x} (a \cdot 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)

\int t^{2} d t

\frac{\partial}{\partial x} (x^{2} - x y + 3 y^{2})

\frac{\partial}{\partial x} (2 x y + x^{2} - 1)

x \to 3 lim (- 3 x - 6)

\frac{d}{d x} (x (1 - cos (x)))

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