derivative f(x)=((10-3x)+2)/2

Lösung

ableitung von

f (x) = \frac{( 10 - 3 x ) + 2}{2}

- \frac{3}{2}

Dezimale

- 1.5

Schritte zur Lösung

\frac{d}{d x} (\frac{10 - 3 x + 2}{2})

Entferne die Konstante:

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

= \frac{1}{2} \frac{d}{d x} (10 - 3 x + 2)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{2} (\frac{d}{d x} (10) - \frac{d}{d x} (3 x) + \frac{d}{d x} (2))

\frac{d}{d x} (10) = 0

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (2) = 0

= \frac{1}{2} (0 - 3 + 0)

Vereinfache

\frac{1}{2} (0 - 3 + 0) : - \frac{3}{2}

= - \frac{3}{2}

\int \frac{x ^{2}}{x ^{3} + 3} d x

\frac{\partial}{\partial x} (x^{2} \cdot sin^{2} (yz))

a re a y = x, y = x + 6, 0 < x < 5

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