Solving a Math Puzzle: What Went Wrong?

[Slimsta]

Homework Statement

http://img121.imageshack.us/img121/8907/graphr.jpg

Homework Equations

The Attempt at a Solution

i can't believe i got this wrong.. i even checked the textbook for that and still got it wrong :/
B,C,D,E are 100% correct.
the other 2 i logically matched them..
increment of x obviously going to be F
and the tangent line, or the differentiable of y is A
so what's wrong?

 

[Mark44]

dy and Differential of y are the same thing.

A is the line, whose equation would be y - y₀ = f'(x₀)(x - x₀), where (x₀, y₀) is the point where the line is tangent to the curve, and f'(x₀) is the slope of the tangent line. Other notation for f'(x₀) is $$\frac{dy}{dx}|_{x = x_0}$$.

 

[Slimsta]

oh i didnt know i can use the same answer twice.. i was thinking that too but then i thought it would be wrong with 2 of the same answers..

thanks man

 

[Mark44]

I think they got tricky on you.