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Beliebt Rechnen >

(\partial)/(\partial x)(x^{3/4})

Lösung

\frac{\partial}{\partial x} (x^{\frac{3}{4}})

Lösung

\frac{3}{4 x ^{\frac{1}{4}}}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{\frac{3}{4}})

Wende die Potenzregel an:

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

= \frac{3}{4} x^{\frac{3}{4} - 1}

Vereinfache

\frac{3}{4} x^{\frac{3}{4} - 1} : \frac{3}{4 x ^{\frac{1}{4}}}

= \frac{3}{4 x ^{\frac{1}{4}}}

Beliebte Beispiele

derivative e^x-x

d er i v a t i v e e^{x} - x

derivative of cos(-x/3)

\frac{d}{d x} (cos (- \frac{x}{3}))

limit as x approaches 0 of (x^2)/(sin^2(7x))

x \to 0 lim (\frac{x ^{2}}{sin ^{2} ( 7 x )})

tangent x^2=y^2,(1,-1)

t an g e n t x^{2} = y^{2}, (1, - 1)

tangent f(x)=x^2-7x+7,\at x=0

t an g e n t f (x) = x^{2} - 7 x + 7, at x = 0