derivative of 5cos(x-2sin(3x))

Lösung

\frac{d}{d x} (5 cos (x) - 2 sin (3 x))

- 5 sin (x) - 6 cos (3 x)

Schritte zur Lösung

\frac{d}{d x} (5 cos (x) - 2 sin (3 x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 cos (x)) - \frac{d}{d x} (2 sin (3 x))

\frac{d}{d x} (5 cos (x)) = - 5 sin (x)

\frac{d}{d x} (2 sin (3 x)) = 6 cos (3 x)

= - 5 sin (x) - 6 cos (3 x)

\int_{- \infty}^{0} \frac{z}{z ^{4} + 9} d z

\frac{d}{d r} (\frac{1}{r})

\frac{d}{d x} (9 arctan (x))

x \to 0 lim (6 - \frac{1}{x ^{3}})

\int \frac{3 x + ( 2 )}{( x )} d x