Derivative of log x
Derivative of log x is 1/x. The derivative of log x in calculus represents the rate of change of log x with respect to the change in the value of independent variable x. This means that the slope of the tangent line to the graph of log x at any point is 1/x in the base of 10..
Note: If we change the base from e to 10, derivative of log changes to 1/x as ln e = 1.
Derivative of log x Formula
The formula for the derivative of log x is given by:
(d/dx)[log x] = 1 / (x ln 10)
OR
( log x)’ = 1/ (x)
Derivative of Log x: Formula and Proof
Derivative of log x is 1/x. Log x Derivative refers to the process of finding change in log x function to the independent variable. The specific process of finding the derivative for log x functions is referred to as logarithmic differentiation. The function log x typically refers to the natural logarithm of x, which is the logarithm to the base e, where e is Euler’s number, approximately equal to 2.71828.
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