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Derivative of an Inverse with an Integral

Difficulty: Easy · Topics: Calculus, Inverse Functions, Fundamental Theorem of Calculus

Integral qatnashgan teskari funksiya hosilasi

Let g(x) be the inverse function of

f(x)=e^x+∫ 1^xe^t^2 dt.

Find g'(e).

g(x) —

f(x)=e^x+∫ 1^xe^t^2 dt

funksiyaning teskari funksiyasi bo‘lsin. g'(e) ni toping.