Autumn Hebert

2023-03-08

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

abuharatzf32

Beginner2023-03-09Added 6 answers

Make use of the product and chain rules

Solution:

$\frac{d}{dx}=2\mathrm{cos}\left({x}^{2}\right)+2x(-\mathrm{sin}\left({x}^{2}\right)\times 2x)$

Hence, $=2\mathrm{cos}\left({x}^{2}\right)-4{x}^{2}\mathrm{sin}\left({x}^{2}\right)$

Solution:

$\frac{d}{dx}=2\mathrm{cos}\left({x}^{2}\right)+2x(-\mathrm{sin}\left({x}^{2}\right)\times 2x)$

Hence, $=2\mathrm{cos}\left({x}^{2}\right)-4{x}^{2}\mathrm{sin}\left({x}^{2}\right)$