What is the derivative of log_{b}(x) ?

The derivative of log_{b}(x) is 1/(xln(b))

What is the first derivative of log_{b}(x) ?

The first derivative of log_{b}(x) is 1/(xln(b))

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derivative of

lo g_{b} (x)

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

Solution steps

\frac{d}{d x} (lo g_{b} (x))

Apply the derivative log rule:

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

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

\frac{d}{d x} (2 sin (x) + cos (3 x))

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

x \to 4 lim (4 x + 2)

y = x^{2} + 2 x - 3

\frac{6}{x}

What is the derivative of log_{b}(x) ?
The derivative of log_{b}(x) is 1/(xln(b))
What is the first derivative of log_{b}(x) ?
The first derivative of log_{b}(x) is 1/(xln(b))