(\partial)/(\partial y)(sin(xy)+e^{xy})

Lösung

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

cos (x y) x + e^{x y} x

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial y} (sin (x y)) = cos (x y) x

\frac{\partial}{\partial y} (e^{x y}) = e^{x y} x

= cos (x y) x + e^{x y} x

\int_{- 7}^{7} \frac{y}{49 - y ^{2}} d y

d er i v a t i v e 4 arcsin (x^{3})

\int_{0}^{2} (x 9 - x^{2}) d x

\int (3 x - 5)^{2} d x

n = 1 \sum \infty \frac{1}{n ^{1.1}}