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Beliebt Rechnen >

(\partial)/(\partial y)(tan(xy^2))

Lösung

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

Lösung

sec^{2} (x y^{2}) \cdot 2 x y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= sec^{2} (x y^{2}) \cdot 2 x y

Beliebte Beispiele

derivative of 5ln(x^3)

\frac{d}{d x} (5 ln (x^{3}))

(\partial)/(\partial x)(9xe^{6xy})

\frac{\partial}{\partial x} (9 x e^{6 x y})

(3x+2y+1)dx-(3x+2y-1)dy=0

(3 x + 2 y + 1) d x - (3 x + 2 y - 1) d y = 0

integral of (x+2+3/x)

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

integral from 0 to pi of sec^2(x/3)

\int_{0}^{π} sec^{2} (\frac{x}{3}) d x