![]() Therefore, it is proved that the derivative of logarithm of a function with respect to variable is equal to the product of the reciprocal of the function and the derivative of the function. These functions require a technique called logarithmic differentiation, which allows us to differentiate any function of the form h(x)g(x)f(x) h ( x ) g ( x ). You can actually use the derivative of ln ( x ) ln(x) ln(x)natural log, left parenthesis, x, right parenthesis (along with the constant multiple rule) to. More exercises with answers are at the end of. Several Examples with detailed solutions are presented. If you have mastered Applications of Derivatives, you can learn about. ![]() Hence, the required numbers are 12 and 12. The derivative of logarithmic function can be derived in differential calculus from first principle. Proof of ex by Chain Rule and Derivative of the Natural Log.
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