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Beliebt Rechnen >

derivative of sqrt(9+\sqrt{9-x)}

Lösung

\frac{d}{d x} (9 + 9 - x)

Lösung

- \frac{1}{4 9 + 9 - x - x + 9}

Schritte zur Lösung

\frac{d}{d x} (9 + 9 - x)

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{2 9 + 9 - x} (- \frac{1}{2 - x + 9}) : - \frac{1}{4 9 + 9 - x - x + 9}

= - \frac{1}{4 9 + 9 - x - x + 9}

Graph

Beliebte Beispiele

integral of (15sqrt(x)+sqrt(2))

\int (15 x + 2) d x

integral of 1/(4y^2+1)

\int \frac{1}{4 y ^{2} + 1} d y

integral from 0 to 1 of x

\int_{0}^{1} x d x

derivative e^x(7x^2-14x+14)

d er i v a t i v e e^{x} (7 x^{2} - 14 x + 14)

tangent 4/(x^2)-1/(sqrt(x))

t an g e n t \frac{4}{x ^{2}} - \frac{1}{x}