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Beliebt Rechnen >

derivative f(x)=x+1+1/(x^2)

Lösung

ableitung von

f (x) = x + 1 + \frac{1}{x ^{2}}

Lösung

- \frac{2}{x ^{3}} + 1

Schritte zur Lösung

\frac{d}{d x} (x + 1 + \frac{1}{x ^{2}})

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{1}{x ^{2}})

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

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

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

= 1 + 0 - \frac{2}{x ^{3}}

Vereinfache

= - \frac{2}{x ^{3}} + 1

Graph

Beliebte Beispiele

derivative of tan^3(2x)

\frac{d}{d x} (tan^{3} (2 x))

integral of 7/(2x^{9/4)}

\int \frac{7}{2 x ^{\frac{9}{4}}} d x

y^{''}-8y^'+16y=t^{-9}e^{4t}

y^{^{''}} - 8 y^{^{'}} + 16 y = t^{- 9} e^{4 t}

limit as n approaches infinity of n/6

n \to \infty lim (\frac{n}{6})

(\partial)/(\partial y)(ye^{xy}+2x-1)

\frac{\partial}{\partial y} (y e^{x y} + 2 x - 1)