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Popular >

derivative of (8e^{2w}+3e^w)/(e^w)

Solution

derivative of

\frac{8 e ^{2 w} + 3 e ^{w}}{e ^{w}}

Solution

8 e^{w}

Solution steps

\frac{d}{d w} (\frac{8 e ^{2 w} + 3 e ^{w}}{e ^{w}})

Simplify

\frac{8 e ^{2 w} + 3 e ^{w}}{e ^{w}} : 8 e^{w} + 3

= \frac{d}{d w} (8 e^{w} + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d w} (8 e^{w}) + \frac{d}{d w} (3)

\frac{d}{d w} (8 e^{w}) = 8 e^{w}

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

= 8 e^{w} + 0

Simplify

= 8 e^{w}

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Frequently Asked Questions (FAQ)

What is the derivative of (8e^{2w}+3e^w)/(e^w) ?
The derivative of (8e^{2w}+3e^w)/(e^w) is 8e^w
What is the first derivative of (8e^{2w}+3e^w)/(e^w) ?
The first derivative of (8e^{2w}+3e^w)/(e^w) is 8e^w