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Beliebt Rechnen >

derivative 8+sqrt(x-7)

Lösung

ableitung von

8 + x - 7

Lösung

\frac{1}{2 x - 7}

Schritte zur Lösung

\frac{d}{d x} (8 + x - 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8) + \frac{d}{d x} (x - 7)

\frac{d}{d x} (8) = 0

\frac{d}{d x} (x - 7) = \frac{1}{2 x - 7}

= 0 + \frac{1}{2 x - 7}

Vereinfache

= \frac{1}{2 x - 7}

Graph

Beliebte Beispiele

y^{^{''}} - x = 0

limit as x approaches 1 of ln(x^4-3x+10)

x \to 1 lim (ln (x^{4} - 3 x + 10))

limit as x approaches-3+of (x^2)/(x+3)

x \to - 3 + lim (\frac{x ^{2}}{x + 3})

integral of arctan(3x)

\int arctan (3 x) d x

tangent f(x)=24e^x,\at x=2

t an g e n t f (x) = 24 e^{x}, at x = 2