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Beliebt Rechnen >

derivative of (log_{10}(x)/(ln(x))+2x)

Lösung

\frac{d}{d x} (\frac{lo g _{10} ( x )}{ln ( x )} + 2 x)

Lösung

2

Schritte zur Lösung

\frac{d}{d x} (\frac{lo g _{10} ( x )}{ln ( x )} + 2 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{lo g _{10} ( x )}{ln ( x )}) + \frac{d}{d x} (2 x)

\frac{d}{d x} (\frac{lo g _{10} ( x )}{ln ( x )}) = 0

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

= 0 + 2

Vereinfache

= 2

Graph

Beliebte Beispiele

y^{''}+5y^'+6y=2e^x

y^{^{''}} + 5 y^{^{'}} + 6 y = 2 e^{x}

derivative of in(sec(x))

\frac{d}{d x} (in (sec (x)))

sum from n=1 to infinity of 2/(e^{n-3)}

n = 1 \sum \infty \frac{2}{e ^{n - 3}}

y^{''}-2/x y^'-4/(x^2)y=3x^2

y^{^{''}} - \frac{2}{x} y^{^{'}} - \frac{4}{x ^{2}} y = 3 x^{2}

limit as x approaches 1+of x^3-4

x \to 1 + lim (x^{3} - 4)