Autumn Hebert

2023-03-08

How to find the derivative of $2x\mathrm{cos}\left({x}^{2}\right)$?

abuharatzf32

Make use of the product and chain rules
Solution:
$\frac{d}{dx}=2\mathrm{cos}\left({x}^{2}\right)+2x\left(-\mathrm{sin}\left({x}^{2}\right)×2x\right)$
Hence, $=2\mathrm{cos}\left({x}^{2}\right)-4{x}^{2}\mathrm{sin}\left({x}^{2}\right)$

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