A Functional Equation for f′
Difficulty: Hard · Topics: Calculus, Derivatives, Functional Equations
f′ uchun funksional tenglama
The differentiable function f(x) satisfies, for every real number x -1,
f'(e^x+1)=2f'(2e^x-1)+2e^-x, f(1)=3ln 2.
Find the value of f(2).
Differensiallanuvchi f(x) funksiya har bir haqiqiy x -1 uchun
f'(e^x+1)=2f'(2e^x-1)+2e^-x, f(1)=3ln 2
shartlarni qanoatlantiradi. f(2) ning qiymatini toping.