Answer:
I can give you a very quick way of answering this. I don't know how to make the explanation more complete.
First you have to realize that to have a square root in the denominator, likely the result came from a square root in the numerator.
so the first part of the solution is sqrt(1 + 2x^2) or (1 + 2x^2)^(1/2)
I think it's the chain rule that says you have to differentiate what's inside the brackets to get 4x. The 1 disappears because it is a constant.
When you differentiate the square root, you get 1/2
So in all, you get 2*1/4 sqrt(1 + 2x^2) between 2 and 0.
f(2) = 1/2 sqrt(1 + 2x^2) = 1/2*sqrt(1 + 2*2^2) = 1/2*sqrt(9) = 1/2*3 = 3/2
f(0) = 1/2 sqrt(1)= 1/2
f(2) - f(0) = 3/2 - 1/2 = 1
Step-by-step explanation:
