# What is the derivative of sin x^2?

I assume $f \left(x\right) = \sin \left({x}^{2}\right)$
${f}^{'} \left(x\right) = {\left(\sin \left({x}^{2}\right)\right)}^{'} = \cos \left({x}^{2}\right) \cdot {\left({x}^{2}\right)}^{'} = \cos \left({x}^{2}\right) \cdot 2 \cdot x = 2 x \cos \left({x}^{2}\right)$