What is the derivative of e^{2x}+3 ?

The derivative of e^{2x}+3 is 2e^{2x}

What is the first derivative of e^{2x}+3 ?

The first derivative of e^{2x}+3 is 2e^{2x}

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

2 e^{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

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

= e^{2 x} \cdot 2 + 0

Simplify

= 2 e^{2 x}

y^{^{''}} + 5 y^{^{'}} + 6 y = e - 3 x

\int \frac{e ^{2 t}}{e ^{t} + 3} d t

\frac{d y}{d x} + 6 y = 4

2 cos (2 t)

e^{y - 1}

What is the derivative of e^{2x}+3 ?
The derivative of e^{2x}+3 is 2e^{2x}
What is the first derivative of e^{2x}+3 ?
The first derivative of e^{2x}+3 is 2e^{2x}