The same result can be obtained by rewriting f in terms of exp and applying the chain rule. The fundamental theorem of calculus says that the integral of a function is the same as its antiderivative, and we know that the derivative of ln(x) is 1/x. ![]() In calculus, logarithmic differentiation or differentiation by taking logarithms is a method used to differentiate functions by employing the logarithmic derivative of a function f, ( ln f ) ′ = f ′ f ⟹ f ′ = f ⋅ ( ln f ) ′.
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