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Beliebt Rechnen >

(\partial)/(\partial x)(6sqrt(x))

Lösung

\frac{\partial}{\partial x} (6 x)

Lösung

\frac{3}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x)

Entferne die Konstante:

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

= 6 \frac{\partial}{\partial x} (x)

Wende Radikal Regel an:

a = a^{\frac{1}{2}}

= 6 \frac{\partial}{\partial x} (x^{\frac{1}{2}})

Wende die Potenzregel an:

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

= 6 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Vereinfache

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

= \frac{3}{x}

Beliebte Beispiele

integral of 8-(160)/(32-x)

\int 8 - \frac{160}{32 - x} d x

limit as x approaches 6-of ln(6-x)

x \to 6 - lim (ln (6 - x))

taylor sqrt(-x^2+2x),1

t a y l or - x^{2} + 2 x, 1

(x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0

(x^{2} + 2 x y - y^{2}) d x + (y^{2} + 2 x y - x^{2}) d y = 0

derivative of sqrt(4-2x)

\frac{d}{d x} (4 - 2 x)