Differentiate. $$ y=7 x^{2} \sin (x) \tan (x) $$ $$ y^{\prime}=\square $$

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Find the first order derivative with respect to $$ x $$ for $$ 7x^2 \sin(x) 	an(x) $$.
Evaluate the derivative by following steps:
- step0: Evaluate the derivative:
  $$\frac{d}{dx}\left(7x^{2}\sin\left(xight)	an\left(xight)ight)$$
- step1: Use differentiation rules:
  $$\frac{d}{dx}\left(7ight)	imes x^{2}\sin\left(xight)	an\left(xight)+7	imes \frac{d}{dx}\left(x^{2}ight)	imes \sin\left(xight)	an\left(xight)+7x^{2}	imes \frac{d}{dx}\left(\sin\left(xight)ight)	imes 	an\left(xight)+7x^{2}\sin\left(xight)	imes \frac{d}{dx}\left(	an\left(xight)ight)$$
- step2: Find the derivative:
  $$0	imes x^{2}\sin\left(xight)	an\left(xight)+7	imes \frac{d}{dx}\left(x^{2}ight)	imes \sin\left(xight)	an\left(xight)+7x^{2}	imes \frac{d}{dx}\left(\sin\left(xight)ight)	imes 	an\left(xight)+7x^{2}\sin\left(xight)	imes \frac{d}{dx}\left(	an\left(xight)ight)$$
- step3: Calculate:
  $$0+7	imes \frac{d}{dx}\left(x^{2}ight)	imes \sin\left(xight)	an\left(xight)+7x^{2}	imes \frac{d}{dx}\left(\sin\left(xight)ight)	imes 	an\left(xight)+7x^{2}\sin\left(xight)	imes \frac{d}{dx}\left(	an\left(xight)ight)$$
- step4: Calculate:
  $$0+7	imes 2x\sin\left(xight)	an\left(xight)+7x^{2}	imes \frac{d}{dx}\left(\sin\left(xight)ight)	imes 	an\left(xight)+7x^{2}\sin\left(xight)	imes \frac{d}{dx}\left(	an\left(xight)ight)$$
- step5: Calculate:
  $$0+14x\sin\left(xight)	an\left(xight)+7x^{2}	imes \frac{d}{dx}\left(\sin\left(xight)ight)	imes 	an\left(xight)+7x^{2}\sin\left(xight)	imes \frac{d}{dx}\left(	an\left(xight)ight)$$
- step6: Find the derivative:
  $$0+14x\sin\left(xight)	an\left(xight)+7x^{2}\cos\left(xight)	an\left(xight)+7x^{2}\sin\left(xight)	imes \frac{d}{dx}\left(	an\left(xight)ight)$$
- step7: Find the derivative:
  $$0+14x\sin\left(xight)	an\left(xight)+7x^{2}\cos\left(xight)	an\left(xight)+7x^{2}\sin\left(xight)\sec^{2}\left(xight)$$
- step8: Simplify:
  $$0+14x\sin\left(xight)	an\left(xight)+7x^{2}\cos\left(xight)	an\left(xight)+7\left(x\sec\left(xight)ight)^{2}\sin\left(xight)$$
- step9: Remove 0:
  $$14x\sin\left(xight)	an\left(xight)+7x^{2}\cos\left(xight)	an\left(xight)+7\left(x\sec\left(xight)ight)^{2}\sin\left(xight)$$
The derivative of $$ y = 7x^2 \sin(x) 	an(x) $$ with respect to $$ x $$ is $$ y' = 14x\sin(x)	an(x) + 7x^2\cos(x)	an(x) + 7(x\sec(x))^2\sin(x) $$.
$$ y' = 14x\sin(x)	an(x) + 7x^2\cos(x)	an(x) + 7x^2\sin(x)\sec^2(x) $$

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