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Beliebt Rechnen >

derivative of x^2sqrt(x)-5x

Lösung

\frac{d}{d x} (x^{2} x - 5 x)

Lösung

\frac{5 x ^{\frac{3}{2}}}{2} - 5

Schritte zur Lösung

\frac{d}{d x} (x^{2} x - 5 x)

Vereinfache

x^{2} x - 5 x : x^{\frac{5}{2}} - 5 x

= \frac{d}{d x} (x^{\frac{5}{2}} - 5 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{\frac{5}{2}}) - \frac{d}{d x} (5 x)

\frac{d}{d x} (x^{\frac{5}{2}}) = \frac{5 x ^{\frac{3}{2}}}{2}

\frac{d}{d x} (5 x) = 5

= \frac{5 x ^{\frac{3}{2}}}{2} - 5

Graph

Beliebte Beispiele

fläche y=2-e^x,y=10e^{-x}-5

a re a y = 2 - e^{x}, y = 10 e^{- x} - 5

derivative f(x)=(ln(4))/3 e^x

d er i v a t i v e f (x) = \frac{ln ( 4 )}{3} e^{x}

derivative y=(5x-2)/(sqrt(x))

d er i v a t i v e y = \frac{5 x - 2}{x}

tangent 8x^{-2}

t an g e n t 8 x^{- 2}

integral of-sqrt(x)

\int - x d x