Solved Examples on Derivative of log x
Example 1: Find the derivative of 2log x.
Solution:
d/dx[ 2 log x ] = 2 /(x ln 10)
Example 2: Find the derivative of 10log x at x = 10.
Solution:
d/dx[ 10 log x ] = 10 /(x ln 10)
at x=10 , d/dx[ 10 log x ] = 10/(10 ln 10) = 1/ (ln 10)
Example 3: Find the derivative of x2log2x .
Solution:
d/dx[ x2log2x ] = 2x(log2x) + x2(1/x ln 2)
formula,
d/dx[ log x2 ] = ( 2x ) x ( 1/x2ln10 )
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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