3.- Derivator - Högre ordningens derivata (Envariabelanalys M)

Hitta andraderivatan

Hitta $f''(x)$ ifall $f(x)=(\cos(x))^2$

$f''(x)=-\cos(x)\cdot (1+4\sin(x))$ $f''(x)=2((\sin(x))^2-(\cos(x))^2)$ $f''(x)=2((\cos(x))^2-(\sin(x))^2)$ $f''(x)=4\sin(x)\cos(x)$