derivative of (1-5x^{-2})

Lösung

\frac{d}{d x} ((1 - 5 x)^{- 2})

\frac{10}{( 1 - 5 x ) ^{3}}

Schritte zur Lösung

\frac{d}{d x} ((1 - 5 x)^{- 2})

Wende die Kettenregel an:

- \frac{2}{( 1 - 5 x ) ^{3}} \frac{d}{d x} (1 - 5 x)

= - \frac{2}{( 1 - 5 x ) ^{3}} \frac{d}{d x} (1 - 5 x)

\frac{d}{d x} (1 - 5 x) = - 5

= - \frac{2}{( 1 - 5 x ) ^{3}} (- 5)

Vereinfache

- \frac{2}{( 1 - 5 x ) ^{3}} (- 5) : \frac{10}{( 1 - 5 x ) ^{3}}

= \frac{10}{( 1 - 5 x ) ^{3}}

t an g e n t y = e^{3 x} cos (π x), (0, 1)

\frac{\partial}{\partial y} (sin (yz))

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

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

h \to 0 lim (\frac{sin ( h )}{h})