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Beliebt Rechnen >

derivative of sin(x+x*cos(x))

Lösung

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

Lösung

2 cos (x) - x sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of x^2y-x

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

integral of (cos(5x)cos(3x))

\int (cos (5 x) cos (3 x)) d x

integral from 0 to 1 of x-x^3

\int_{0}^{1} x - x^{3} d x

(\partial)/(\partial x)(e^{-x^3-y^3})

\frac{\partial}{\partial x} (e^{- x^{3} - y^{3}})

d er i v a t i v e 5^{t}