derivative of sqrt(3/2 x-5)

Lösung

\frac{d}{d x} (\frac{3}{2} x - 5)

\frac{3}{2 2 3 x - 10}

Schritte zur Lösung

\frac{d}{d x} (\frac{3}{2} x - 5)

Wende die Kettenregel an:

\frac{1}{2 \frac{3}{2} x - 5} \frac{d}{d x} (\frac{3}{2} x - 5)

= \frac{1}{2 \frac{3}{2} x - 5} \frac{d}{d x} (\frac{3}{2} x - 5)

\frac{d}{d x} (\frac{3}{2} x - 5) = \frac{3}{2}

= \frac{1}{2 \frac{3}{2} x - 5} \cdot \frac{3}{2}

Vereinfache

\frac{1}{2 \frac{3}{2} x - 5} \cdot \frac{3}{2} : \frac{3}{2 2 3 x - 10}

= \frac{3}{2 2 3 x - 10}

d er i v a t i v e 9 x^{8} - x^{π}

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