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Beliebt Rechnen >

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

Lösung

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

Lösung

y sin (x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 - (- y sin (x))

Vereinfache

= y sin (x)

Beliebte Beispiele

derivative of 540(1-e^{-0.1x})

\frac{d}{d x} (540 (1 - e^{- 0.1 x}))

sum from n=3 to infinity of 2/(n^2+1)

n = 3 \sum \infty \frac{2}{n ^{2} + 1}

integral of ((ln^3(x)))/x

\int \frac{( ln ^{3} ( x ) )}{x} d x

2 y^{^{'}} - y = e^{\frac{t}{3}}

derivative f(x)=5ln(x)

d er i v a t i v e f (x) = 5 ln (x)