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Beliebt Rechnen >

(\partial)/(\partial y)(-x-sin(y^2))

Lösung

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

Lösung

- 2 y cos (y^{2})

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (sin (y^{2})) = cos (y^{2}) \cdot 2 y

= - 0 - cos (y^{2}) \cdot 2 y

Vereinfache

= - 2 y cos (y^{2})

Beliebte Beispiele

integral of x^3(x-1)^{-4}

\int x^{3} (x - 1)^{- 4} d x

inverselaplace (s^4)/s

in v erse l a pl a ce \frac{s ^{4}}{s}

derivative f(x)=sqrt(3x^2+3x+4)

d er i v a t i v e f (x) = 3 x^{2} + 3 x + 4

t an g e n t - x^{2} + 6 x

derivative of 8/(1+x)

\frac{d}{d x} (\frac{8}{1 + x})