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Beliebt Rechnen >

(\partial)/(\partial y)(sin(x^3y^2))

Lösung

\frac{\partial}{\partial y} (sin (x^{3} y^{2}))

Lösung

cos (x^{3} y^{2}) \cdot 2 x^{3} y

Schritte zur Lösung

\frac{\partial}{\partial y} (sin (x^{3} y^{2}))

Behandle

x

als Konstante

Wende die Kettenregel an:

cos (x^{3} y^{2}) \frac{\partial}{\partial y} (x^{3} y^{2})

= cos (x^{3} y^{2}) \frac{\partial}{\partial y} (x^{3} y^{2})

\frac{\partial}{\partial y} (x^{3} y^{2}) = 2 x^{3} y

= cos (x^{3} y^{2}) \cdot 2 x^{3} y

Beliebte Beispiele

(\partial)/(\partial y)(3x^2y^4-4)

\frac{\partial}{\partial y} (3 x^{2} y^{4} - 4)

derivative 2/(x^2+3)

d er i v a t i v e \frac{2}{x ^{2} + 3}

derivative 2ax+b

d er i v a t i v e 2 a x + b

(dy}{dx}=\frac{2x)/y

\frac{d y}{d x} = \frac{2 x}{y}

integral from-8 to 8 of x^{1/3}

\int_{- 8}^{8} x^{\frac{1}{3}} d x