Question

alguém pode me ajudar por favor, por favor msm, só preciso dessas 3 letras​

Answer 1

$f(x)=\cos(x)+(x^2+1)\sin(x)\\\\f'(x)=\{[\cos(x)]'+[(x^2+1)'\sin(x)+(x^2+1)[\sin (x)]']\}\\\\f'(x)=-\sin(x)+[(2x)\sin(x)+(x^2+1)\cos(x)]\\\\f'(x)=\sin(x)(-1+2x)+\cos(x)(x^2+1)$

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$f(x)=\frac{\sin(x)(\sqrt{x}+4)}{\cos(x)}\\\\f(x)=\tan(x)(\sqrt{x}+4)\\\\f'(x)=[\tan(x)]'(\sqrt{x}+4)+\tan(x)(\sqrt{x}+4)'\\\\f'(x)=\sec^2(x)(\sqrt{x}+4)+\tan(x).\frac{1}{2\sqrt{x}}$

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$f(x)=e^x.\sin(x)-4x^{-1}\\\\f'(x)-(e^x)'.\sin(x)+e^x[\sin(x)]'-4(-1)(x^{-1-1})\\\\f'(x)=e^x\sin(x)+e^x\cos(x)+4x^{-2}\\\\f'(x)=e^x(\sin(x)+\cos(x))+\frac{4}{x^2}$