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Beliebt Rechnen >

derivative of sqrt(y-x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 y - x ^{2}} \frac{d}{d x} (y - x^{2})

= \frac{1}{2 y - x ^{2}} \frac{d}{d x} (y - x^{2})

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

= \frac{1}{2 y - x ^{2}} (\frac{d y}{d x} - 2 x)

Vereinfache

\frac{1}{2 y - x ^{2}} (\frac{d y}{d x} - 2 x) : \frac{\frac{d y}{d x} - 2 x}{2 y - x ^{2}}

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

Beliebte Beispiele

integral of (48x)/(4x^2+e)

\int \frac{48 x}{4 x ^{2} + e} d x

integral from-1 to 1 of x/(x^2+1)

\int_{- 1}^{1} \frac{x}{x ^{2} + 1} d x

integral of 5x^{2/3}

\int 5 x^{\frac{2}{3}} d x

tangent y=6x^2-x^3,(1,5)

t an g e n t y = 6 x^{2} - x^{3}, (1, 5)

sum from n=0 to infinity of 1/(1!)

n = 0 \sum \infty \frac{1}{1 !}