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Beliebt Rechnen >

(\partial)/(\partial x)((x^2+3y^2)^7)

Lösung

\frac{\partial}{\partial x} ((x^{2} + 3 y^{2})^{7})

Lösung

14 x (x^{2} + 3 y^{2})^{6}

Schritte zur Lösung

\frac{\partial}{\partial x} ((x^{2} + 3 y^{2})^{7})

Behandle

y

als Konstante

Wende die Kettenregel an:

7 (x^{2} + 3 y^{2})^{6} \frac{\partial}{\partial x} (x^{2} + 3 y^{2})

= 7 (x^{2} + 3 y^{2})^{6} \frac{\partial}{\partial x} (x^{2} + 3 y^{2})

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

= 7 (x^{2} + 3 y^{2})^{6} \cdot 2 x

Vereinfache

= 14 x (x^{2} + 3 y^{2})^{6}

Beliebte Beispiele

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

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

integral of 16x(8x^2+2)^2

\int 16 x (8 x^{2} + 2)^{2} d x

y^{^{'}} + 8 y = 4

taylor e^{4x},0

t a y l or e^{4 x}, 0

integral from-infinity to 0 of 8^r

\int_{- \infty}^{0} 8^{r} d r