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

The derivative of e^{2x}-3x is e^{2x}*2-3

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

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

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derivative of

e^{2 x} - 3 x

e^{2 x} \cdot 2 - 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{2 x} \cdot 2 - 3

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