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Beliebt Rechnen >

derivative of sin(2cos(x))

Lösung

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

Lösung

- 2 cos (2 cos (x)) sin (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of (4x^5/((2x^3-2)^3))

\frac{d}{d x} (\frac{4 x ^{5}}{( 2 x ^{3} - 2 ) ^{3}})

limit as x approaches 0-of 1/x*e^{1/x}

x \to 0 - lim (\frac{1}{x} \cdot e^{\frac{1}{x}})

derivative of 2sqrt(x+3)-x

\frac{d}{d x} (2 x + 3 - x)

d/(dy)(x-5ln|x|+yx)

\frac{d}{d y} (x - 5 ln ∣ x ∣ + y x)

limit as h approaches 0 of 3

h \to 0 lim (3)