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Beliebt Rechnen >

derivative y=sin(xcos(x))

Lösung

ableitung von

y = sin (x cos (x))

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

derivative of sqrt(x)(x-1^2)

\frac{d}{d x} (x (x - 1)^{2})

(\partial)/(\partial x)((4x)/(5+y))

\frac{\partial}{\partial x} (\frac{4 x}{5 + y})

derivative 1/(c+ke^c)

d er i v a t i v e \frac{1}{c + k e ^{c}}

y^{''}-8y^'+16y=((10.5e^{4t}))/((t^2+1))

y^{^{''}} - 8 y^{^{'}} + 16 y = \frac{( 10.5 e ^{4 t} )}{( t ^{2} + 1 )}

derivative 55.6-22.1v^{0.16}

d er i v a t i v e 55.6 - 22.1 v^{0.16}