Final answer to the problem
$-5x^2\sin\left(5x^2\right)+\frac{1}{2}\cos\left(5x^2\right)+x^2\sin\left(x^2\right)-\frac{1}{2}\cos\left(x^2\right)$
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Step-by-step Solution
Specify the solving method
1
Find the ($1$) derivative
$\frac{1}{2}x\cos\left(5x^2\right)-\frac{1}{2}x\cos\left(x^2\right)$
2
Find the ($2$) derivative
$-5x^2\sin\left(5x^2\right)+\frac{1}{2}\cos\left(5x^2\right)+x^2\sin\left(x^2\right)-\frac{1}{2}\cos\left(x^2\right)$
Final answer to the problem
$-5x^2\sin\left(5x^2\right)+\frac{1}{2}\cos\left(5x^2\right)+x^2\sin\left(x^2\right)-\frac{1}{2}\cos\left(x^2\right)$