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}

(9 x^{2} - 15 x) e^{x}

4 e^{x^{2}}

\frac{d}{d x} (\frac{2 x}{2 x ^{2} + 1})

f (x) = 4 - x - \frac{2}{3}

e^{1 + x^{2}}

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}