Question

Qual a quinta derivada de F(x)=sen x + cos x?

Answer 1

$F'(x)=\cos(x)-\sin(x)$

$F''(x)=-\sin(x)-\cos(x)$

$F^{(3)}(x) =-\cos(x) +\sin(x)$

$F^{(4)}(x) =\sin(x) +\cos(x)$

$\color{dodgerblue}{\boxed{F^{(5)}(x) =\cos(x) -\sin(x)}}$