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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

integral of-1/(4-x)

\int - \frac{1}{4 - x} d x

maclaurin (x^2+4)sin(5x)

ma c l a u r in (x^{2} + 4) sin (5 x)

limit as θ approaches 0+of s/d

θ \to 0 + lim (\frac{s}{d})

limit as x approaches 1+of x^{5/(1-x)}

x \to 1 + lim (x^{\frac{5}{1 - x}})

(y + 1) d x = 2 x y d y