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Question Number 129041 by oustmuchiya@gmail.com last updated on 12/Jan/21

Differentiate  f(x)=(x^2 +4)^3 (6x^2 )

$${Differentiate}\:\:\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)=\left(\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{4}\right)^{\mathrm{3}} \left(\mathrm{6}\boldsymbol{{x}}^{\mathrm{2}} \right) \\ $$

Answered by bramlexs22 last updated on 12/Jan/21

 f ′(x)=12x(x^2 +4)^3 +6x(x^2 +4)^2 (6x^2 )

$$\:\mathrm{f}\:'\left(\mathrm{x}\right)=\mathrm{12x}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)^{\mathrm{3}} +\mathrm{6x}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)^{\mathrm{2}} \left(\mathrm{6x}^{\mathrm{2}} \right) \\ $$

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