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Infinite gradient

  • Thread starter aurao2003
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  • #1
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Homework Statement


Hi
Can anyone explain the following statement:

When the tangent is parallel to the y-axis it has infinite gradient

Would this be the same condition for a tangent parallel to the x axis? I came across it in the Edexcel C4 textbook.

Cheers



Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Mentallic
Homework Helper
3,798
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Since gradient is defined as being rise/run, for a line parallel to the y-axis, if you take a segment of the line that has a rise of, say, 1 and calculate its run, it will be 0. 1/0 is undefined or in a way can be considered infinite. So its gradient is infinite.

Now do the same for a line parallel to the x-axis and see what you get.
 

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