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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(3)x^{1/2})

Lösung

\frac{\partial}{\partial x} (3 x^{\frac{1}{2}})

Lösung

\frac{3}{2 x ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x^{\frac{1}{2}})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{\partial}{\partial x} (x^{\frac{1}{2}})

Wende die Potenzregel an:

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

= 3 \frac{1}{2} x^{\frac{1}{2} - 1}

Vereinfache

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

= \frac{3}{2 x ^{\frac{1}{2}}}

Beliebte Beispiele

integral of 1/((9+x^2)^3)

\int \frac{1}{( 9 + x ^{2} ) ^{3}} d x

integral of e/x

\int \frac{e}{x} d x

fläche y=5-x^2,y=x^2+3

a re a y = 5 - x^{2}, y = x^{2} + 3

integral of (cos(x))/((1+sin(x)))

\int \frac{cos ( x )}{( 1 + sin ( x ) )} d x

derivative f(x)=2x^3-3x^2-36x+5

d er i v a t i v e f (x) = 2 x^{3} - 3 x^{2} - 36 x + 5