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Beliebt Rechnen >

(\partial)/(\partial x)(x^3-5xy)

Lösung

\frac{\partial}{\partial x} (x^{3} - 5 x y)

Lösung

3 x^{2} - 5 y

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{3} - 5 x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{3}) - \frac{\partial}{\partial x} (5 x y)

\frac{\partial}{\partial x} (x^{3}) = 3 x^{2}

\frac{\partial}{\partial x} (5 x y) = 5 y

= 3 x^{2} - 5 y

Beliebte Beispiele

(xdy)/(dx)+(3x+1)y=e^{-3x}

\frac{x d y}{d x} + (3 x + 1) y = e^{- 3 x}

derivative of \sqrt[5]{(x^2+x/(x+1)})

\frac{d}{d x} (5 \frac{x ^{2} + x}{x + 1})

integral of (8x)/((2x^2+5)^4)

\int \frac{8 x}{( 2 x ^{2} + 5 ) ^{4}} d x

limit as x approaches 0 of (sin(5x))/(tan(6x))

x \to 0 lim (\frac{sin ( 5 x )}{tan ( 6 x )})

integral of 1/(x(4-ln^2(x)))

\int \frac{1}{x ( 4 - ln ^{2} ( x ) )} d x