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.