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Beliebt Rechnen >

derivative of 3cos(x+2sin(x))

Lösung

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

Lösung

- 3 sin (x) + 2 cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - 3 sin (x) + 2 cos (x)

Graph

Beliebte Beispiele

derivative of (x+1/(x^{2/3)(x+3)^{1/3}})

\frac{d}{d x} (\frac{x + 1}{x ^{\frac{2}{3}} ( x + 3 ) ^{\frac{1}{3}}})

integral of e^{kx}

\int e^{k x} d x

integral of sqrt(t)-1/(sqrt(t))

\int t - \frac{1}{t} d t

steigung (1,5),(-2,-4)

s l o p e (1, 5), (- 2, - 4)

xy^'+y=8xy^2,y(1)=5

x y^{^{'}} + y = 8 x y^{2}, y (1) = 5