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Beliebt Rechnen >

derivative csqrt(x)

Lösung

ableitung von

c x

Lösung

\frac{c}{2 x}

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende Radikal Regel an:

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

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

Wende die Potenzregel an:

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

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

Vereinfache

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

= \frac{c}{2 x}

Graph

Beliebte Beispiele

y^'-4/x y=(y^3)/(x^3),y(1)=1

y^{^{'}} - \frac{4}{x} y = \frac{y ^{3}}{x ^{3}}, y (1) = 1

derivative of 7/10 x^2+4x^3

\frac{d}{d x} (\frac{7}{10} x^{2} + 4 x^{3})

(dy)/(dx)-y=-x/2

\frac{d y}{d x} - y = - \frac{x}{2}

limit as x approaches 0 of 1-1/(x^2)

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

limit as x approaches 3 of ((x^2-2x-3))/(x^2-9)

x \to 3 lim (\frac{( x ^{2} - 2 x - 3 )}{x ^{2} - 9})