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Beliebt Rechnen >

derivative sqrt(x^2-9)

Lösung

ableitung von

x^{2} - 9

Lösung

\frac{x}{x ^{2} - 9}

Schritte zur Lösung

\frac{d}{d x} (x^{2} - 9)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} - 9} \frac{d}{d x} (x^{2} - 9)

= \frac{1}{2 x ^{2} - 9} \frac{d}{d x} (x^{2} - 9)

\frac{d}{d x} (x^{2} - 9) = 2 x

= \frac{1}{2 x ^{2} - 9} \cdot 2 x

Vereinfache

\frac{1}{2 x ^{2} - 9} \cdot 2 x : \frac{x}{x ^{2} - 9}

= \frac{x}{x ^{2} - 9}

Graph

Beliebte Beispiele

integral from 0 to 6 of sqrt(6x+64)

\int_{0}^{6} 6 x + 64 d x

integral of x/((x+1))

\int \frac{x}{( x + 1 )} d x

tangent f(x)= 4/(x+1),\at x=6

t an g e n t f (x) = \frac{4}{x + 1}, at x = 6

integral of 1/(2y-1)

\int \frac{1}{2 y - 1} d y

tangent y=(x^3+2)(3x^2-4x+2),(1,3)

t an g e n t y = (x^{3} + 2) (3 x^{2} - 4 x + 2), (1, 3)