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Beliebt Rechnen >

derivative of sqrt(9x^2+9)

Lösung

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

Lösung

\frac{3 x}{x ^{2} + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (9 x^{2} + 9) = 18 x

= \frac{1}{2 9 x ^{2} + 9} \cdot 18 x

Vereinfache

\frac{1}{2 9 x ^{2} + 9} \cdot 18 x : \frac{3 x}{x ^{2} + 1}

= \frac{3 x}{x ^{2} + 1}

Graph

Beliebte Beispiele

integral of sec^4(5x)

\int sec^{4} (5 x) d x

tangent f(x)=2^x,\at x=0

t an g e n t f (x) = 2^{x}, at x = 0

integral of 1/(sqrt(9+x^2))

\int \frac{1}{9 + x ^{2}} d x

derivative y=(-5)/(\sqrt[3]{x)}

d er i v a t i v e y = \frac{- 5}{3 x}

tangent f(x)=2x^2-4x-5,\at x=2

t an g e n t f (x) = 2 x^{2} - 4 x - 5, at x = 2