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Beliebt Rechnen >

derivative of sqrt(x)-2sqrt(y)

Lösung

\frac{d}{d x} (x - 2 y)

Lösung

\frac{1}{2 x} - \frac{\frac{d y}{d x}}{y}

Schritte zur Lösung

\frac{d}{d x} (x - 2 y)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (2 y)

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (2 y) = \frac{\frac{d y}{d x}}{y}

= \frac{1}{2 x} - \frac{\frac{d y}{d x}}{y}

Beliebte Beispiele

integral of (sqrt(x))/(sqrt(x)+1)

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

integral of 1/((10+x)^2)

\int \frac{1}{( 10 + x ) ^{2}} d x

integral of x^3sqrt(3-x^2)

\int x^{3} 3 - x^{2} d x

derivative of (x^6/(1-x^5))

\frac{d}{d x} (\frac{x ^{6}}{1 - x ^{5}})

integral of 4/(sqrt(x^2+9))

\int \frac{4}{x ^{2} + 9} d x