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Beliebt Rechnen >

derivative of esqrt(x)

Lösung

\frac{d}{d x} (e x)

Lösung

\frac{e}{2 x}

Schritte zur Lösung

\frac{d}{d x} (e x)

Entferne die Konstante:

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

= e \frac{d}{d x} (x)

Wende Radikal Regel an:

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

= e \frac{d}{d x} (x^{\frac{1}{2}})

Wende die Potenzregel an:

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

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

Vereinfache

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

= \frac{e}{2 x}

Graph

Beliebte Beispiele

tangent y=1+sqrt(x)

t an g e n t y = 1 + x

integral of 14tan^3(x)sec(x)

\int 14 tan^{3} (x) sec (x) d x

limit as x approaches 0+of x^{x^{1/2}}

x \to 0 + lim (x^{x^{\frac{1}{2}}})

integral of xsin(3x)

\int x sin (3 x) d x

fläche y=2cos(x),y=6-4cos(x),0<= x<= 2pi

a re a y = 2 cos (x), y = 6 - 4 cos (x), 0 \leq x \leq 2 π