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

Lösung

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

- 2 y cos (x^{2} - y^{2})

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= cos (x^{2} - y^{2}) (- 2 y)

Vereinfache

= - 2 y cos (x^{2} - y^{2})

d er i v a t i v e cos (e^{x})

\int_{1}^{\infty} 3^{- x} d x

\int_{0}^{3} 5 d x

\int - ln (1 - x) d x

t an g e n t x + y = 2