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Beliebt Rechnen >

derivative of 4x^2+1/x

Lösung

\frac{d}{d x} (4 x^{2} + \frac{1}{x})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} + \frac{1}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (\frac{1}{x})

\frac{d}{d x} (4 x^{2}) = 8 x

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

= 8 x - \frac{1}{x ^{2}}

Graph

Beliebte Beispiele

derivative y=(5+sin(x))/(5x+cos(x))

d er i v a t i v e y = \frac{5 + sin ( x )}{5 x + cos ( x )}

tangent f(x)= 1/(4+3x),(2, 1/10)

t an g e n t f (x) = \frac{1}{4 + 3 x}, (2, \frac{1}{10})

derivative-4e^t

d er i v a t i v e - 4 e^{t}

e^xy^'=e^{-y}+e^{2x-y}

e^{x} y^{^{'}} = e^{- y} + e^{2 x - y}

taylor 1/(x-1),19

t a y l or \frac{1}{x - 1}, 19