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Beliebt Rechnen >

derivative of 2+1/x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

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

d er i v a t i v e f (x) = x (x + 1)^{2}

(\partial)/(\partial x)(2x^2+3y^2-z^2)

\frac{\partial}{\partial x} (2 x^{2} + 3 y^{2} - z^{2})

tangent y=4+xsqrt(x),(1,5)

t an g e n t y = 4 + x x, (1, 5)

limit as x approaches 2 of sqrt(x^4)-8

x \to 2 lim (x^{4} - 8)

y^{''}+y^'-6y=12x-50sin(x)

y^{^{''}} + y^{^{'}} - 6 y = 12 x - 50 sin (x)