Now, differentiating both the sides w.r.t we get,Ģ. Taking the natural logarithm of both the sides we get, The derivative of ln(x) is a well-known derivative.įollowing are some of the examples of logarithmic derivatives: Here, x is called as the function argument. The derivative of a logarithmic function is given by: When a logarithmic function is represented as: It is used to add small and discrete data and cannot be added singularly. Integration is different from differentiation. Differentiation is used to study the small change of a quantity. Differentiation and integration are the two main concepts of calculus. The only condition is that the non-zero functions should be differentiable in the future. It is a famous concept, and it applies to the majority of the non-zero functions. In some cases, it is easier to differentiate the logarithm of a given function than to differentiate it from the function itself. The technique is used in cases where it is easier to differentiate the logarithm of a function rather than the function itself. Logarithmic differentiation is a part of calculus. There are many branches of Mathematics such as algebra, geometry, trigonometry, calculus, probability, and statistics. The word Mathematics originates from the Greek word Mathema. It is evolved from counting, measuring, and describing the shape of objects. Mathematics is the abstract study of different topics such as quantity, number theory, structure (algebra).
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