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Beliebt Rechnen >

derivative 50x-xsqrt(x)

Lösung

ableitung von

50 x - x x

Lösung

50 - \frac{3 x}{2}

Schritte zur Lösung

\frac{d}{d x} (50 x - x x)

Vereinfache

50 x - x x : 50 x - x^{\frac{3}{2}}

= \frac{d}{d x} (50 x - x^{\frac{3}{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (50 x) - \frac{d}{d x} (x^{\frac{3}{2}})

\frac{d}{d x} (50 x) = 50

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

= 50 - \frac{3 x}{2}

Graph

Beliebte Beispiele

integral of 2/(3xsqrt(x))

\int \frac{2}{3 x x} d x

integral from 0 to pi/4 of 2tan^4(x)

\int_{0}^{\frac{π}{4}} 2 tan^{4} (x) d x

derivative 5sin(x)

d er i v a t i v e 5 sin (x)

derivative f(x)= 2/(x+2)

d er i v a t i v e f (x) = \frac{2}{x + 2}

derivative 4tan(x)

d er i v a t i v e 4 tan (x)