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how to differentiate lnfx. Find the derivative of. Taking the derivative of that gives us fx 2x.
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The natural log function and its derivative is defined on the domain x 0. Fgx ln2x fgx 12x The derivative of ln2x with respect to 2x is 12x 1x. The derivative of lnk where k is any constant is zero.
The second derivative.
If you want to know the derivative of ln x at x 2 then the answer is 12 since the derivative of fx ln x is fx 1x and when you evaluate that at x 2 you get f2 12. Apply the formula above to obtain f x 1 x ln 3 Example 2 Find the derivative of fx ln x 6x 2 Solution to Example 2. Fgx ln2x fgx 12x The derivative of ln2x with respect to 2x is 12x 1x. If you want to know the derivative of ln x at x 2 then the answer is 12 since the derivative of fx ln x is fx 1x and when you evaluate that at x 2 you get f2 12.
