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Beliebt Rechnen >

derivative f(x)=sqrt(3x+8)

Lösung

ableitung von

f (x) = 3 x + 8

Lösung

\frac{3}{2 3 x + 8}

Schritte zur Lösung

\frac{d}{d x} (3 x + 8)

Wende die Kettenregel an:

\frac{1}{2 3 x + 8} \frac{d}{d x} (3 x + 8)

= \frac{1}{2 3 x + 8} \frac{d}{d x} (3 x + 8)

\frac{d}{d x} (3 x + 8) = 3

= \frac{1}{2 3 x + 8} \cdot 3

Vereinfache

\frac{1}{2 3 x + 8} \cdot 3 : \frac{3}{2 3 x + 8}

= \frac{3}{2 3 x + 8}

Graph

Beliebte Beispiele

derivative of (4-x^2/(3x-2))

\frac{d}{d x} (\frac{4 - x ^{2}}{3 x - 2})

y^{^{'}} = \frac{- 1}{x ^{2}}

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n = 0 \sum \infty \frac{1}{5} \cdot (- \frac{2}{3})^{n}

tangent x^2+y^2=25,(-4,3)

t an g e n t x^{2} + y^{2} = 25, (- 4, 3)

limit as x approaches 0+of cos(pi/x)

x \to 0 + lim (cos (\frac{π}{x}))