What is the derivative of a^x+2x+3 ?

The derivative of a^x+2x+3 is a^xln(a)+2

What is the first derivative of a^x+2x+3 ?

The first derivative of a^x+2x+3 is a^xln(a)+2

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\frac{d}{d x} (a^{x} + 2 x + 3)

a^{x} ln (a) + 2

Solution steps

\frac{d}{d x} (a^{x} + 2 x + 3)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (a^{x}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (3)

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

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (3) = 0

= a^{x} ln (a) + 2 + 0

Simplify

= a^{x} ln (a) + 2

What is the derivative of a^x+2x+3 ?
The derivative of a^x+2x+3 is a^xln(a)+2
What is the first derivative of a^x+2x+3 ?
The first derivative of a^x+2x+3 is a^xln(a)+2