(\partial)/(\partial x)(sin(xy)+xcos(y))

Lösung

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

cos (x y) y + cos (y)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= cos (x y) y + cos (y)

\frac{d}{d x} (\frac{x - x}{x ^{\frac{1}{9}}})

a re a y = 2 x + 5, y = 14 - x^{2}, (- 1, 2)

\frac{d}{d x} (- 3 sin (x) + cos (x))

\int \frac{8 x ^{3} + 13 x}{( x ^{2} + 2 ) ^{2}} d x

\int_{1}^{3} (3 x^{2} - 2 x + 1) d x