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Beliebt Rechnen >

d/(dy)(1-3/y+x)

Lösung

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

Lösung

\frac{3}{y ^{2}}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d y} (1) = 0

\frac{d}{d y} (\frac{3}{y}) = - \frac{3}{y ^{2}}

\frac{d x}{d y} = 0

= 0 - (- \frac{3}{y ^{2}}) + 0

Vereinfache

= \frac{3}{y ^{2}}

Graph

Beliebte Beispiele

(dy)/(dx)=-y^2sin(x)

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

integral of 1/(x(x^2-49)^{3/2)}

\int \frac{1}{x ( x ^{2} - 49 ) ^{\frac{3}{2}}} d x

(y^2+yx)dx-x^2dy=0

(y^{2} + y x) d x - x^{2} d y = 0

integral of (x^2+1)sin(x)

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

integral of x\sqrt[3]{x+4}

\int x 3 x + 4 d x