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Beliebt Rechnen >

derivative of 3x^{3/2}-1

Lösung

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

Lösung

\frac{9 x ^{\frac{1}{2}}}{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{\frac{3}{2}}) = \frac{9 x ^{\frac{1}{2}}}{2}

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

= \frac{9 x ^{\frac{1}{2}}}{2} - 0

Vereinfache

= \frac{9 x ^{\frac{1}{2}}}{2}

Graph

Beliebte Beispiele

integral of (36)/(x^3)

\int \frac{36}{x ^{3}} d x

limit as x approaches 1 of 9

x \to 1 lim (9)

integral of sin(5x)cos(7x)

\int sin (5 x) cos (7 x) d x

fläche 5/x , 5/(x^2),1,4

a re a \frac{5}{x}, \frac{5}{x ^{2}}, 1, 4

steigung y=-3x+2,x=2

s l o p e y = - 3 x + 2, x = 2