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Beliebt Rechnen >

derivative of 10sin(x+10sqrt(3)cos(x))

Lösung

\frac{d}{d x} (10 sin (x) + 103 cos (x))

Lösung

10 cos (x) - 103 sin (x)

Schritte zur Lösung

\frac{d}{d x} (10 sin (x) + 103 cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (10 sin (x)) + \frac{d}{d x} (103 cos (x))

\frac{d}{d x} (10 sin (x)) = 10 cos (x)

\frac{d}{d x} (103 cos (x)) = - 103 sin (x)

= 10 cos (x) - 103 sin (x)

Graph

Beliebte Beispiele

integral of (x^5-x^4+4x^2-x)/(x^3+1)

\int \frac{x ^{5} - x ^{4} + 4 x ^{2} - x}{x ^{3} + 1} d x

limit as x approaches 0 of xcos(7/x)

x \to 0 lim (x cos (\frac{7}{x}))

derivative of ln(4+x)

\frac{d}{d x} (ln (4 + x))

integral of xe^x-e^x

\int x e^{x} - e^{x} d x

(dy)/(dx)=2xy+6/(sqrt(pi))

\frac{d y}{d x} = 2 x y + \frac{6}{π}