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Beliebt Rechnen >

(\partial)/(\partial y)(y^2-cos(xy))

Lösung

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

Lösung

2 y + x sin (y x)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y - (- sin (x y) x)

Vereinfache

= 2 y + x sin (y x)

Beliebte Beispiele

integral of 2tan(x)

\int 2 tan (x) d x

derivative of-1/((2x+8^{3/2)})

\frac{d}{d x} (- \frac{1}{( 2 x + 8 ) ^{\frac{3}{2}}})

integral of+1/(x^2)

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

d/(dt)(cos(2t))

\frac{d}{d t} (cos (2 t))

y^{''}-2y^'+y=x^2-1

y^{^{''}} - 2 y^{^{'}} + y = x^{2} - 1