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Beliebt Rechnen >

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

Lösung

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

Lösung

103 cos (x) + 10 sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of 1/(x^2+60)

\int \frac{1}{x ^{2} + 60} d x

limit as x approaches infinity of 4xe^{(1/x)}-4x

x \to \infty lim (4 x e^{(\frac{1}{x})} - 4 x)

tangent f(x)= 3/x ,\at x=2

t an g e n t f (x) = \frac{3}{x}, at x = 2

fläche y^2-3x=4,x-y=2

a re a y^{2} - 3 x = 4, x - y = 2

derivative e^{z/((z-3))}

d er i v a t i v e e^{\frac{z}{( z - 3 )}}