Let a function is defined by and

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let a function y=f(x)y=f(x) is defined by y=emtln⁡ty=e^{m\sqrt{t}}\ln t and x=etln⁡tx=e^t\ln t, where tt is a positive real parameter such that f′(0)=ef'(0)=e, then value of mm is

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