Question

Qual a primeira derivada da função?

f(x)= e^-x²- cos (x)

Answer 1

$\mathrm{f(x)=e^{-x^2}-\cos{x}\ \to\ f'(x)=\frac{d}{dx}(e^{-x^2})-\frac{d}{dx}(\cos{x})}\\\\ \mathrm{f'(x)=e^{-x^2}\frac{d}{dx}(-x^2)-(-\sin{x})}\\\\ \mathrm{f'(x)=e^{-x^2}(-2x)+\sin{x}\ \to\ \boxed{\mathbf{f'(x)=\sin{x}-2xe^{-x^2}}}}$