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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CAT Formulas
Applications of Derivatives
Derivative of a General Logarithmic Expression
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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