derivative-3x^{1/2}+x^{3/2}

Lösung

ableitung von

- 3 x^{\frac{1}{2}} + x^{\frac{3}{2}}

- \frac{3}{2 x ^{\frac{1}{2}}} + \frac{3 x ^{\frac{1}{2}}}{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - \frac{3}{2 x ^{\frac{1}{2}}} + \frac{3 x ^{\frac{1}{2}}}{2}

\frac{d}{d x} (e^{- 2 x} y)

\frac{d}{d x} (sec^{2} (2 x) - tan^{2} (2 x))

\int \frac{28 x ^{2}}{4 - x ^{2}} d x

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