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Beliebt Rechnen >

(\partial)/(\partial y)(cos(x^2+xy))

Lösung

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

Lösung

- sin (x^{2} + x y) x

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= - sin (x^{2} + x y) x

Beliebte Beispiele

integral of a^u

\int a^{u} d u

derivative 3/(t^2)

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

integral of cos^3(θ)

\int cos^{3} (θ) d θ

(\partial)/(\partial x)(((x+y))/(x-y))

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

integral from 0 to 1 of sqrt(1+x^4+2x^2)

\int_{0}^{1} 1 + x^{4} + 2 x^{2} d x