What is the (log_{2}(x))^' ?

The (log_{2}(x))^' is 1/(xln(2))

What is the first (log_{2}(x))^' ?

The first (log_{2}(x))^' is 1/(xln(2))

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(lo g_{2} (x))^{^{'}}

\frac{1}{x ln ( 2 )}

Solution steps

(lo g_{2} (x))^{'}

Apply the derivative log rule:

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

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

e^{x^{2}} - 1, 0

x \to - 2 lim (8 - x^{3})

\int \frac{1}{cosh ^{2} ( x )} d x

x \to \frac{π}{2} + lim (\frac{1}{cos ( x )})

f (t) = t e^{- 3 t} cos (5 t)