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Beliebt Rechnen >

derivative of 3sqrt(x-2)

Lösung

\frac{d}{d x} (3 x - 2)

Lösung

\frac{3}{2 x - 2}

Schritte zur Lösung

\frac{d}{d x} (3 x - 2)

Entferne die Konstante:

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

= 3 \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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2y-2)

\frac{\partial}{\partial x} (2 y - 2)

(\partial)/(\partial x)(x^6+xy^5+7)

\frac{\partial}{\partial x} (x^{6} + x y^{5} + 7)

integral of (cos(x)+xcos(y)-y)

\int (cos (x) + x cos (y) - y) d y

(6 + x) y^{^{'}} = 7 y

integral of 3/(18+2t^2)

\int \frac{3}{18 + 2 t ^{2}} d t