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Numerade Educator

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Problem 20 Easy Difficulty

Differentiate.

$ y = (z^2 + e^z)\sqrt{z} $

Answer

$\frac{(2z+1) e^{2}+5 z^{2}}{2 \sqrt{z}}$

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Video Transcript

it's clear. So when you read him so we're gonna take the derivative in terms of C for a C square of the times each Z plus C square. This becomes equal to D over d Z square root of C times you to the sea plus C square. Less square word of Z do over d z you to the seed plus C square. This becomes equal to eat the C plus C square over two square root of C plus you to the C plus two C spirit of C. This becomes equal to toothy plus fun times E to the C plus five C square over two square root of C.