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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

(\partial)/(\partial x)(cos(x^2-y))

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

integral of (2x)/(sqrt(x-1))

\int \frac{2 x}{x - 1} d x

(\partial)/(\partial y)(3y)

\frac{\partial}{\partial y} (3 y)

4y^{''}-4y^'+4y=0

4 y^{^{''}} - 4 y^{^{'}} + 4 y = 0

(\partial)/(\partial x)(xy+xcos(x))

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