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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Vereinfache

(x^{2}) (x) : x^{\frac{5}{2}}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{5}{2} x^{\frac{5}{2} - 1}

Vereinfache

\frac{5}{2} x^{\frac{5}{2} - 1} : \frac{5 x ^{\frac{3}{2}}}{2}

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

Graph

Beliebte Beispiele

tangent f(x)=4-x^2,\at x=2

t an g e n t f (x) = 4 - x^{2}, at x = 2

integral of cos(1/2 x)

\int cos (\frac{1}{2} x) d x

derivative of (x^5/(5!))

\frac{d}{d x} (\frac{x ^{5}}{5 !})

derivative of x^2+cos(x)

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

sum from n=1 to infinity of (4^n)/(4^n)

n = 1 \sum \infty \frac{4 ^{n}}{4 ^{n}}