Homework SourseSuppose that fx 2x for all x Find f2 if f2 2Solution we ha
Suppose that f\'(x) = 2x for all x. Find f(2) if f(-2) = 2.
Solution
we have given the function f\'(x) = 2x we know that integral of the derivative function gives the original function. so integral f\'(x) = f(x) integral 2x = x^2 + c = f(x) f(x) = x^2 + c f(-2) = 2 we have given that means f(-2) = (-2)^2 + c 2 = 4 + c c = -2 f(2) = (2)^2 + c = 4 + c plug the value of c here f(2) = 4 - 2 = 2 Hope this will help you!
