Derivative of a General Logarithmic Expression

Rarely Tested

Derivative of a General Logarithmic Expression

For:

$$y=\log_a u(x)$$

where:

$$a>0,\quad a\neq1$$

$$\frac{dy}{dx}=\frac{u'(x)}{u(x)\ln a}$$

Usage

- Used when both the logarithm's base and argument are known.

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