derivative of 0,81x-1,14sqrt(x)+1.53

Lösung

\frac{d}{d x} (0, 81 x - 1, 14 x + 1.53)

(0, 81 \cdot 1) - (1, 14 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}) + 0

Schritte zur Lösung

\frac{d}{d x} (0, 81 x - 1, 14 x + 1.53)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (0, 81 x) - \frac{d}{d x} (1, 14 x) + \frac{d}{d x} (1.53)

\frac{d}{d x} (0, 81 x) = (0, 81 \cdot 1)

\frac{d}{d x} (1, 14 x) = (1, 14 \cdot \frac{1}{2} x^{\frac{1}{2} - 1})

\frac{d}{d x} (1.53) = 0

= (0, 81 \cdot 1) - (1, 14 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}) + 0

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