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Beliebt Rechnen >

derivative of 1+1/(4x)

Lösung

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

Lösung

- \frac{1}{4 x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 - \frac{1}{4 x ^{2}}

Vereinfache

= - \frac{1}{4 x ^{2}}

Graph

Beliebte Beispiele

laplacetransform 1/10 e^{4t}+9/10 e^{-6t}

l a pl a ce t r an s f or m \frac{1}{10} e^{4 t} + \frac{9}{10} e^{- 6 t}

derivative f(x)=2x^2-16x+35

d er i v a t i v e f (x) = 2 x^{2} - 16 x + 35

integral of (-3sqrt(x)+4x)

\int (- 3 x + 4 x) d x

d y - (y - 7)^{2} d x = 0

integral of e^{4x}cos(2x)

\int e^{4 x} cos (2 x) d x