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Beliebt Rechnen >

derivative of 1-x+ln(x)

Lösung

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

Lösung

\frac{1}{x} - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 0 - 1 + \frac{1}{x}

Vereinfache

= \frac{1}{x} - 1

Graph

Beliebte Beispiele

derivative \sqrt[7]{x^6}

d er i v a t i v e 7 x^{6}

integral from 0 to a of e^{x/a}-e^{-x/a}

\int_{0}^{a} e^{\frac{x}{a}} - e^{- \frac{x}{a}} d x

derivative x=6.4sin(1.2^2t^2)

d er i v a t i v e x = 6.4 sin (1. 2^{2} t^{2})

(\partial ^2)/(\partial x\partial y)(x^5+x^2y+x+3)

\frac{\partial ^{2}}{\partial x \partial y} (x^{5} + x^{2} y + x + 3)

d er i v a t i v e - 7