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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (x)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 + cos (x)

Vereinfache

= cos (x)

Beliebte Beispiele

limit as x approaches 0 of cos(0)

x \to 0 lim (cos (0))

integral of (x^2+1)/(e^x)

\int \frac{x ^{2} + 1}{e ^{x}} d x

(dx)/(dt)+4tx^3+x/t =0

\frac{d x}{d t} + 4 t x^{3} + \frac{x}{t} = 0

f(x)=(1-sec(x))/(tan(x))

f (x) = \frac{1 - sec ( x )}{tan ( x )}

derivative f(x)=7+2/x+5/(x^2)

d er i v a t i v e f (x) = 7 + \frac{2}{x} + \frac{5}{x ^{2}}