Does anyone know how to find slope???? Please help
equation Find the slope of the tangent to the curve at the point specified. x^2+xy^2=32 at (4,2) Slope=?
I got 32 for answer and didn;t know if that was right
is the answer .5
What course level is this for? You can find the derivative and sub in the values for the given point. The derivative is, by definition, the slope of the tangent to the curve.
pre calc
Ok. Scratch that then. It is not a simply derivative either... What kind of curve/shape does the equation graph?
a curved graph
hmm ... I just looked again and I think it graphs a circle.
oh sorry I put it wrong into my calculator
no problem. Have a look at where that point is on the circle.
ok got it
Great!
oh wiat now my calculator says error and I can't get the final answer
can you by any chance tell me what you got my calculator is not working now it keeps saying error
are you still there mrleiss
Sorry, yes I'm still here. You won't use your calculator. You need to graph it and look at the point on the circle that they gave you. Sketch the tangent line; the slope should be relatively clear from the sketch or from where the point is on the circle.
ok
then what I am starting to get confused
Vertical lines have undefined slopes; Horizontal lines have slopes of zero. The graph y = x has a slope of 1 and y = -x has a slope of -1. The line that runs through the circle at the point should be parallel to one of these and so should have the same slope.
so then the slope is 1
I think it might be -1. Sketch both y = x and y = -x to make sure.
yu just redid it and I did it the wrong way sorry I got it now
so then the answer is -1
is that the answer
are you still there???????
\[x^2+xy^2=32 \]\[2x+y^2+2xy'=0\] put \(x=4\) and \(y=2\) and solve for \(y'\)
I got 32 so then is the slope 32
\[2\times 4+2^2+2\times 4\times y'=0\] etc
seems unlikely
\[8+4+8y'=0\] \[12+8y'=0\] \[8y'=-12\] \[y'=-\frac{3}{2}\]
ok so then yup I got that now I re put it in the calculator so then the slope is(-3/2)
oh no i didn't that is right
wait I;m confused so that is the slope or no
yes, it is \(-\frac{3}{2}\)
ok got it thank you
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