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Beliebt Rechnen >

derivative of 2ln(x-(x^2)/(16))

Lösung

\frac{d}{d x} (2 ln (x) - \frac{x ^{2}}{16})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (2 ln (x) - \frac{x ^{2}}{16})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 ln (x)) - \frac{d}{d x} (\frac{x ^{2}}{16})

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

\frac{d}{d x} (\frac{x ^{2}}{16}) = \frac{x}{8}

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

Graph

Beliebte Beispiele

integral of x/(sqrt(9x^2-4))

\int \frac{x}{9 x ^{2} - 4} d x

y^{''}+6y^'+34y=68,y(0)=5,y^'(0)=7

y^{^{''}} + 6 y^{^{'}} + 34 y = 68, y (0) = 5, y^{^{'}} (0) = 7

integral of x^{0.813}

\int x^{0.813} d x

x y + y^{^{'}} = 18 x

derivative of (({g}(x)^2)/(h(x)))

\frac{d}{d x} (\frac{( g ( x ) ) ^{2}}{h ( x )})