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

The derivative of e^{2x}-sin(3x) is e^{2x}*2-cos(3x)*3

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

The first derivative of e^{2x}-sin(3x) is e^{2x}*2-cos(3x)*3

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derivative of

e^{2 x} - sin (3 x)

e^{2 x} \cdot 2 - cos (3 x) \cdot 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

= e^{2 x} \cdot 2 - cos (3 x) \cdot 3

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