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Beliebt Rechnen >

derivative sin(cos(7x))

Lösung

ableitung von

sin (cos (7 x))

Lösung

- 7 cos (cos (7 x)) sin (7 x)

Schritte zur Lösung

\frac{d}{d x} (sin (cos (7 x)))

Wende die Kettenregel an:

cos (cos (7 x)) \frac{d}{d x} (cos (7 x))

= cos (cos (7 x)) \frac{d}{d x} (cos (7 x))

\frac{d}{d x} (cos (7 x)) = - sin (7 x) \cdot 7

= cos (cos (7 x)) (- sin (7 x) \cdot 7)

Vereinfache

= - 7 cos (cos (7 x)) sin (7 x)

Graph

Beliebte Beispiele

(dy)/(dx)=-x/(ye^{x^2)}

\frac{d y}{d x} = - \frac{x}{y e ^{x^{2}}}

fläche y=x^2-1.52,y=-x^2+1.52

a re a y = x^{2} - 1.52, y = - x^{2} + 1.52

derivative of cos(xy^2)

\frac{d}{d x} (cos (x y^{2}))

limit as x approaches 0 of x+y

x \to 0 lim (x + y)

derivative y=(3+5x-8sqrt(x))/x

d er i v a t i v e y = \frac{3 + 5 x - 8 x}{x}