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Beliebt Rechnen >

derivative of x-1+(16/x)

Lösung

\frac{d}{d x} (x - 1 + \frac{16}{x})

Lösung

- \frac{16}{x ^{2}} + 1

Schritte zur Lösung

\frac{d}{d x} (x - 1 + \frac{16}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} - \frac{d}{d x} (1) + \frac{d}{d x} (\frac{16}{x})

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

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{16}{x}) = - \frac{16}{x ^{2}}

= 1 - 0 - \frac{16}{x ^{2}}

Vereinfache

= - \frac{16}{x ^{2}} + 1

Graph

Beliebte Beispiele

sum from n=1 to infinity of (3^n)/(n!)

n = 1 \sum \infty \frac{3 ^{n}}{n !}

limit as (x,y) approaches (3,2) of e^{sqrt(2x-y)}

(x, y) \to (3, 2) lim (e^{2 x - y})

integral of xinx

\int x in x d x

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

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

steigung (-4,1),(1,-2)

s l o p e (- 4, 1), (1, - 2)