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Beliebt Rechnen >

derivative of (log_{10}(x)^2)

Lösung

\frac{d}{d x} ((lo g_{10} (x))^{2})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} ((lo g_{10} (x))^{2})

Wende die Kettenregel an:

2 lo g_{10} (x) \frac{d}{d x} (lo g_{10} (x))

= 2 lo g_{10} (x) \frac{d}{d x} (lo g_{10} (x))

\frac{d}{d x} (lo g_{10} (x)) = \frac{1}{x ln ( 10 )}

= 2 lo g_{10} (x) \frac{1}{x ln ( 10 )}

Vereinfache

2 lo g_{10} (x) \frac{1}{x ln ( 10 )} : \frac{2 lo g _{10} ( x )}{ln ( 10 ) x}

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

Graph

Beliebte Beispiele

y^{^{''}} + 3 y = 5

y^{''}+y= 1/(2k^2)(1+cos(2t))

y^{^{''}} + y = \frac{1}{2 k ^{2}} (1 + cos (2 t))

derivative of (x^5+1^4)

\frac{d}{d x} ((x^{5} + 1)^{4})

tangent f(x)= 1/(sqrt(x)),\at x=81

t an g e n t f (x) = \frac{1}{x}, at x = 81

tangent arccos(x)+x,\at x=0

t an g e n t arccos (x) + x, at x = 0