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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(1-x^2))

Lösung

\frac{\partial}{\partial x} (1 - x^{2})

Lösung

- \frac{x}{1 - x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (1 - x^{2})

Wende die Kettenregel an:

\frac{1}{2 1 - x ^{2}} \frac{\partial}{\partial x} (1 - x^{2})

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

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

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

Vereinfache

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

= - \frac{x}{1 - x ^{2}}

Beliebte Beispiele

(\partial)/(\partial y)(x^4sin(xy^3))

\frac{\partial}{\partial y} (x^{4} sin (x y^{3}))

limit as x approaches infinity of (log_{2}(x))/(sqrt(x))

x \to \infty lim (\frac{lo g _{2} ( x )}{x})

f (x) = 2 x^{4}

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

\int \frac{x ^{2} - 1}{x ^{2}} d x

integral of x^2e^{-18x}

\int x^{2} e^{- 18 x} d x