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Find y’ for y=x sin x^2

Question

Please Help! Medal Will Be Rewarded!
Find y’ for  y=x sin x^2

anonymous · Answer

y'=x*2 sin x cos x+sinx^2

anonymous · Answer

Thank you so much!!!!

anonymous · Answer

anonymous · Answer

Is it 
$$
x \sin(x^2)
$$
or
$$
x (\sin (x))^2

$$

anonymous · Answer

correction I solved
$$y=x(sinx)^{2} $$

anonymous · Answer

Its x sin (x^2)

anonymous · Answer

So the answer is like the one obtained with wolframalpha

anonymous · Answer

that is what i am wondering - is it the one from wolfram?

anonymous · Answer

$$if y=x \sin x ^{2},y'=x \left( \cos x ^{2}*2x \right)+\sin x ^{2}$$

anonymous · Answer

anonymous · Answer

@surjithayer  second solution is correct
$$
y'=\sin
   \left(x^2\right)+2 x^2 \cos \left(x^2\right)


$$

anonymous · Answer

here after simplification
$$y'=2x ^{2}\cos x ^{2}+\sin x ^{2}$$

anonymous · Answer

Okay, thank you @surjithayer !!! I have more questions to post if you guys want more medals!

anonymous · Answer

I am here to help not for medals.