Question

qual a derivada da funcao f (x) = cos/ x2+1

Answer 1

$\mathsf{f(x)=\dfrac{cos(x)}{{x}^{2}+1}}\\\mathsf{f'(x)=\dfrac{-sen(x).({x}^{2}+1)-cos(x).2x}{{({x}^{2}+1)}^{2}}}\\\mathsf{f'(x)=-\dfrac{sen(x)({x}^{2}+1)+2x cos(x)}{{({x}^{2}+1)}^{2}}}$