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Beliebt Rechnen >

derivative of sqrt(9x+x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral of (sin(5x))/(e^{cos(5x)-1)}

\int \frac{sin ( 5 x )}{e ^{c o s (5 x) - 1}} d x

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

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

taylor xe^{-x+1}1

t a y l or x e^{- x + 1} 1

steigung (81)(8-7)

s l o p e (81) (8 - 7)

fläche y=12-7x-x^2,y=4

a re a y = 12 - 7 x - x^{2}, y = 4