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Beliebt Rechnen >

(\partial)/(\partial x)(sin(xy^2))

Lösung

\frac{\partial}{\partial x} (sin (x y^{2}))

Lösung

cos (x y^{2}) y^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (x y^{2}))

Behandle

y

als Konstante

Wende die Kettenregel an:

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

= cos (x y^{2}) \frac{\partial}{\partial x} (x y^{2})

\frac{\partial}{\partial x} (x y^{2}) = y^{2}

= cos (x y^{2}) y^{2}

Beliebte Beispiele

derivative (x^2-2)/(e^{2x)}

d er i v a t i v e \frac{x ^{2} - 2}{e ^{2 x}}

limit as x approaches-1 of log_{10}(x)

x \to - 1 lim (lo g_{10} (x))

integral of (8x^2+3x^{-2})

\int (8 x^{2} + 3 x^{- 2}) d x

integral of (10)/(cos(x)-1)

\int \frac{10}{cos ( x ) - 1} d x

(\partial)/(\partial x)(1/((x+y)))

\frac{\partial}{\partial x} (\frac{1}{( x + y )})