Don J.

asked • 07/18/17

Calculus Question

Differentiate 2xy-17=-3x2 to find the slope at point (2,5).
 
help?!

2 Answers By Expert Tutors

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Arturo O. answered • 07/18/17

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Don J.

Is the slope 6?
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07/18/17

Arturo O.

I get m = -29/8
 
How did you get 6?  Also, note comments below that (2,5) is NOT on the curve, so if you used y = 5 in your calculation, it is incorrect.
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07/18/17

Don J.

Oh ya nvm now i got -29/8
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07/18/17

Arturo O.

But note also the comments below about (2,5) NOT being on the curve.  There has to be an error in the problem statement.  Please double check the information in the statement, edit accordingly, and maybe delete this problem and post a corrected version.
 
What does "nvm" mean?
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07/18/17

Don J.

nvm is nevermind. And idk thats what the question says. Ill make a note about it to see what my teacher says.
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07/18/17

Kenneth S. answered • 07/18/17

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Arturo O.

At (2,5) the LHS gives
 
2(2)(5) - 17 = 20 - 17 = 3
 
The RHS gives 
 
-3(2)2 = -12
 
3 ≠ -12
 
The problem statement is flawed.  However, you can still find the slope where x = 2, but that is not at the point (2,5), since as Kenneth noted, (2,5) is not on the curve.
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07/18/17

Don J.

Hey my teacher just got back to me on this question and she said you're supposed to use implicit differentiation then plug in those points. I knew it.
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07/19/17

Arturo O.

But the given point is not on the curve!  Did you explain that to her?  The problem remains flawed.
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07/19/17

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