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Beliebt Rechnen >

derivative of xsqrt(14-x)

Lösung

\frac{d}{d x} (x 14 - x)

Lösung

\frac{- 3 x + 28}{2 14 - x}

Schritte zur Lösung

\frac{d}{d x} (x 14 - x)

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = 14 - x

= \frac{d x}{d x} 14 - x + \frac{d}{d x} (14 - x) x

\frac{d x}{d x} = 1

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

= 1 \cdot 14 - x + (- \frac{1}{2 14 - x}) x

Vereinfache

1 \cdot 14 - x + (- \frac{1}{2 14 - x}) x : \frac{- 3 x + 28}{2 14 - x}

= \frac{- 3 x + 28}{2 14 - x}

Graph

Beliebte Beispiele

integral of (2e^{3x})/(1+e^{6x)}

\int \frac{2 e ^{3 x}}{1 + e ^{6 x}} d x

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\frac{d}{d x} (\frac{0.5}{cos ( x )})

(dy)/(dx)=(ln(x))/(xy)

\frac{d y}{d x} = \frac{ln ( x )}{x y}

limit as x approaches-1+of x^2+2

x \to - 1 + lim (x^{2} + 2)

integral of 1/(20y)

\int \frac{1}{20 y} d y