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# Differentiate.$y = e^p (p + p\sqrt{p})$

## $\left(p^{3 / 2}+p\right){e}^{p}+\left(\frac{3 \sqrt{p}}{2}+1\right) e^{p}$

Derivatives

Differentiation

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DG

David Base G.

October 27, 2020

Finally, now I'm done with my homework

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### Video Transcript

Hey, it's clear. So when you raid here, So we're gonna find the derivative in terms of P do you over DP We're just gonna rewrite this out as p 23 halves plus p times need to pee this this equal to de over de p a p to the three House plus p Times E to the P plus p to the three hubs plus p d over dp bert E to the p. When we simplify, we get p three House plus p eat the p less three house P 2 3/2 minus one plus one. Eat the p This becomes equal to P to the three halves, plus p it to the P plus three the square root of Pete over too, plus one times eat the P.

Derivatives

Differentiation

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