derivative of 1/((x-6^2))

Lösung

\frac{d}{d x} (\frac{1}{( x - 6 ) ^{2}})

- \frac{2}{( x - 6 ) ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{( x - 6 ) ^{2}})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((x - 6)^{- 2})

Wende die Kettenregel an:

- \frac{2}{( x - 6 ) ^{3}} \frac{d}{d x} (x - 6)

= - \frac{2}{( x - 6 ) ^{3}} \frac{d}{d x} (x - 6)

\frac{d}{d x} (x - 6) = 1

= - \frac{2}{( x - 6 ) ^{3}} \cdot 1

Vereinfache

= - \frac{2}{( x - 6 ) ^{3}}

t an g e n t f (x) = x^{2} + 3 x + 4 π, at x = 2.5

\frac{\partial}{\partial y} (2 sin (x) + sin (x + y))

x \to 0 lim (\frac{( 0 )}{x})

\frac{d y}{d x} + 5 y = 6

\int \frac{1}{( 4 - x ^{2} ) ^{\frac{3}{2}}} d x