(\partial)/(\partial x)(arcsec(-x))

Lösung

\frac{\partial}{\partial x} (arcsec (- x))

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

Schritte zur Lösung

\frac{\partial}{\partial x} (arcsec (- x))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

\frac{\partial}{\partial y} (y cos (x - y))

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

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

x \to - 2 lim (\frac{2 - x}{2 + x})

n or ma l y = (x - 2)^{\frac{2}{3}}, (3, 1)