(\partial)/(\partial x)(sin(x)+pi*cos(y))

Lösung

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

cos (x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (π cos (y)) = 0

= cos (x) + 0

Vereinfache

= cos (x)

x \frac{d y}{d x} + 2 y = sin (x)

\int \frac{e ^{8 x}}{x} d x

\int \frac{sin ( 21 x )}{1 + cos ^{2} ( 21 x )} d x

\int_{0}^{1} x (1 - x) d x

a re a 6 x^{2}, x^{2} + 8