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Beliebt Rechnen >

derivative of ln(2x+1-x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

f (x) = csc^{2} (x)

integral from 1 to 2 of (11)/(x^3+4x)

\int_{1}^{2} \frac{11}{x ^{3} + 4 x} d x

integral of x^4e^{x^5+2}

\int x^{4} e^{x^{5} + 2} d x

integral from-4 to-2 of 1/(x^3)

\int_{- 4}^{- 2} \frac{1}{x ^{3}} d x

integral of x/(5-4x^2-x^4)

\int \frac{x}{5 - 4 x ^{2} - x ^{4}} d x