derivative y=(6x^2-10x+1)^{-4}

Lösung

ableitung von

y = (6 x^{2} - 10 x + 1)^{- 4}

- \frac{4 ( 12 x - 10 )}{( 6 x ^{2} - 10 x + 1 ) ^{5}}

Schritte zur Lösung

\frac{d}{d x} ((6 x^{2} - 10 x + 1)^{- 4})

Wende die Kettenregel an:

- \frac{4}{( 6 x ^{2} - 10 x + 1 ) ^{5}} \frac{d}{d x} (6 x^{2} - 10 x + 1)

= - \frac{4}{( 6 x ^{2} - 10 x + 1 ) ^{5}} \frac{d}{d x} (6 x^{2} - 10 x + 1)

\frac{d}{d x} (6 x^{2} - 10 x + 1) = 12 x - 10

= - \frac{4}{( 6 x ^{2} - 10 x + 1 ) ^{5}} (12 x - 10)

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{4 ( 12 x - 10 )}{( 6 x ^{2} - 10 x + 1 ) ^{5}}

\int [\frac{( sin ( x ) )}{x}] d x

\frac{d y}{d x} + x y = 4 x

\frac{\partial}{\partial y} (25 - x^{2} - y^{2})

\frac{d}{d x} (arctan (8 x))

d er i v a t i v e y = (9 x)^{3 x}