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Beliebt Rechnen >

derivative 18cos(x)+9sin^2(x)

Lösung

ableitung von

18 cos (x) + 9 sin^{2} (x)

Lösung

- 18 sin (x) + 9 sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (18 cos (x) + 9 sin^{2} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (18 cos (x)) + \frac{d}{d x} (9 sin^{2} (x))

\frac{d}{d x} (18 cos (x)) = - 18 sin (x)

\frac{d}{d x} (9 sin^{2} (x)) = 9 sin (2 x)

= - 18 sin (x) + 9 sin (2 x)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-5(dy)/(dx)+6y=0

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = 0

(dy}{dx}=\frac{x^2)/9+7/9

\frac{d y}{d x} = \frac{x ^{2}}{9} + \frac{7}{9}

derivative of (cos(x)^2-2sin(x))

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

limit as x approaches infinity of (ln(x^5))/(13x)

x \to \infty lim (\frac{ln ( x ^{5} )}{13 x})

integral of pi(2x)^2

\int π (2 x)^{2} d x