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Beliebt Rechnen >

derivative of (x^{3/2}^2)

Lösung

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

Lösung

3 x^{2}

Schritte zur Lösung

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

Vereinfache

(x^{\frac{3}{2}})^{2} : x^{3}

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

Wende die Potenzregel an:

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

= 3 x^{3 - 1}

Vereinfache

= 3 x^{2}

Graph

Beliebte Beispiele

integral of (x^2-5x+16)/((2x+1)(x-2)^2)

\int \frac{x ^{2} - 5 x + 16}{( 2 x + 1 ) ( x - 2 ) ^{2}} d x

(\partial)/(\partial y)(e^xy)

\frac{\partial}{\partial y} (e^{x} y)

(xdy)/(dx)+y= 1/(y^2)

\frac{x d y}{d x} + y = \frac{1}{y ^{2}}

derivative \sqrt[3]{a}

d er i v a t i v e 3 a

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

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