Solving a Math Puzzle: What Went Wrong?

  • Thread starter Slimsta
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    Puzzle
Your reasoning is correct, but technically, the correct answer for the tangent line is not A, it is \frac{dy}{dx}|_{x = x_0}.In summary, the conversation discusses the correctness of identifying the tangent line and the differential of y in a given graph. The participants share their solutions and reasoning, and ultimately determine the correct answers to be F for the increment of x and \frac{dy}{dx}|_{x = x_0} for the tangent line.
  • #1
Slimsta
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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?
 
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  • #2
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 [tex]\frac{dy}{dx}|_{x = x_0}[/tex].
 
  • #3
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
 
  • #4
I think they got tricky on you.
 

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