Question

list five elements of V, where V is the set of all real real valued differentiable functions whose domain is the set of all real numbers and having the property that f'(x)=0

Answer 1

y=1, y=2, y=3...?

Answer 2

sorry, i have to fix.. f'(1)=0

Answer 3

so just restricting ourselves to f(x) = ax^2 + bx + c = 0, find solutions to 2a + b = 0

Answer 4

f(x) = (x-1)^2 is one
f(x) = (x-1)^3 is another
f(x) = (x-1)^4 another ...

Answer 5

yeaa..