**Derivatives of Logarithmic Functions: Formula, Proof and …**
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The Derivative of the Natural Logarithmic Function by normal method. If x > 0 and y= lnx, then dydx=1x If x≠0 and y=ln|x|, then dydx=1x If the natural log is not just x, but instead is g(x), a differentiable function. Now, using the chain rule, we get a more general derivative: for all values of x for which g(x) > 0, the derivative of f(x) = ln(g(...

The Derivative of the Natural Logarithmic Function by normal method. If x > 0 and y= lnx, then dydx=1x If x≠0 and y=ln|x|, then dydx=1x If the natural log is not just x, but instead is g(x), a differentiable function. Now, using the chain rule, we get a more general derivative: for all values of x for which g(x) > 0, the** derivative** of f(x) = ln(g(...

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