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Beliebt Rechnen >

derivative of 7sqrt(x-2)

Lösung

\frac{d}{d x} (7 x - 2)

Lösung

\frac{7}{2 x - 2}

Schritte zur Lösung

\frac{d}{d x} (7 x - 2)

Entferne die Konstante:

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

= 7 \frac{d}{d x} (x - 2)

Wende die Kettenregel an:

\frac{1}{2 x - 2} \frac{d}{d x} (x - 2)

= \frac{1}{2 x - 2} \frac{d}{d x} (x - 2)

\frac{d}{d x} (x - 2) = 1

= 7 \cdot \frac{1}{2 x - 2} \cdot 1

Vereinfache

7 \cdot \frac{1}{2 x - 2} \cdot 1 : \frac{7}{2 x - 2}

= \frac{7}{2 x - 2}

Graph

Beliebte Beispiele

d/(dt)(4sin(t))

\frac{d}{d t} (4 sin (t))

y^{''}+11y^'+18y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 11 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = 0

derivative of 6x^2+6x-36

\frac{d}{d x} (6 x^{2} + 6 x - 36)

(x^{\frac{1}{2}})^{^{'}}

derivative of 4arctan(x)

\frac{d}{d x} (4 arctan (x))