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Beliebt Rechnen >

derivative of 1-x^{3/2}

Lösung

\frac{d}{d x} (1 - x^{\frac{3}{2}})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (1 - x^{\frac{3}{2}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) - \frac{d}{d x} (x^{\frac{3}{2}})

\frac{d}{d x} (1) = 0

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

= 0 - \frac{3 x ^{\frac{1}{2}}}{2}

Vereinfache

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

Graph

Beliebte Beispiele

integral of (2x+3)^3

\int (2 x + 3)^{3} d x

derivative of (25x^3/3+10x^2+4x-7)

\frac{d}{d x} (\frac{25 x ^{3}}{3} + 10 x^{2} + 4 x - 7)

f^{^{'}} (x) = e^{- 2 x}

derivative of (2x+sin(x)/(2x+cos(x)))

\frac{d}{d x} (\frac{2 x + sin ( x )}{2 x + cos ( x )})

steigung (1,10),(24,-26)

s l o p e (1, 10), (24, - 26)