Area from a Functional Equation
Difficulty: Medium · Topics: Calculus, Functional Equations, Area
Funksional tenglamadan yuza
The function f(x) is differentiable for any real numbers x, y and satisfies
f(x+y)=f(x)+f(y)-3xy, f'(0)=-2
Find the area bounded by f(x) and the x-axis.
f(x) funksiya differensiallanuvchi va istalgan haqiqiy x, y sonlar uchun
f(x+y)=f(x)+f(y)-3xy, f'(0)=-2
shartni qanoatlantiradi. f(x) va x o‘qi bilan chegaralangan yuzani toping.