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Beliebt Rechnen >

(\partial)/(\partial y)(cos(xy)+xz^2)

Lösung

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

Lösung

- x sin (x y)

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (x z^{2}) = 0

= - sin (x y) x + 0

Vereinfache

= - x sin (x y)

Beliebte Beispiele

inverselaplace (s^2)/((s^2+4s+4)^2)

in v erse l a pl a ce \frac{s ^{2}}{( s ^{2} + 4 s + 4 ) ^{2}}

f (x) = \frac{4}{x ^{3}}

derivative x/(x^2-x+1)

d er i v a t i v e \frac{x}{x ^{2} - x + 1}

taylor 1/(x-1),25

t a y l or \frac{1}{x - 1}, 25

derivative f(x)=sqrt(x)-8\sqrt[3]{x}

d er i v a t i v e f (x) = x - 8 3 x