Question

Obtenha a derivada da função f(x) = 5 sen x +2 cos x - 4

Answer 1

$f(x)=5\sin{x}+2\cos{x}-4\\\\ \dfrac{d}{dx}(\sin{x})=\cos{x};\ \dfrac{d}{dx}(\cos{x})=-\sin{x}\\\\ \dfrac{d}{dx}\big(f(x)\big)=5\dfrac{d}{dx}(\sin{x})+2\dfrac{d}{dx}(\cos{x})-\dfrac{d}{dx}(4)\ \therefore\\\\ f'(x)=5\cos{x}+2(-\sin{x})+0\ \therefore\\\\ \boxed{f'(x)=5\cos{x}-2\sin{x}}$