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# Differentiate the function.$y = 3e^x + \frac{4}{\sqrt{x}}$

## $$y^{\prime}=3\left(e^{x}\right)+4\left(-\frac{1}{3}\right) x^{-4 / 3}=3 e^{x}-\frac{4}{3} x^{-4 / 3}$$

Derivatives

Differentiation

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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### Video Transcript

he It's clear. So when you right here. So we're gonna start with different shooting the function in terms of X. So we have three feet X plus four over X to the one negative 1/3 power. Oh, this becomes equal to D over d x three each the X plus de over DX four bucks to the negative 1/3 power. We're gonna apply the power rule to get 38 x close negative 1/3 terms for X to the negative 4/3. This becomes equal to three feet X minus 4/3 x to the negative 4/3.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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