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Need to find all points where the tangent line is horizontal.
To do this you just find the derivative and set it to 0 and solve right? The only thing that is tripping me up is the equation. What form do I need to put it into?
Use implicit differentiation to get dy/dx as a function of y and x:Originally Posted by zsig013
Need to find all points where the tangent line is horizontal.
To do this you just find the derivative and set it to 0 and solve right? The only thing that is tripping me up is the equation. What form do I need to put it into?.
Solve: x = 0.
Substitute x = 0 intoand solve for the y-coordinate. Check that the solution(s) do NOT satisfy y - 1 = 0 (why?)
Another way to do this is to solve for
Need to find all points where the tangent line is horizontal.
To do this you just find the derivative and set it to 0 and solve right? The only thing that is tripping me up is the equation. What form do I need to put it into?in you original equation to get
...so you get
...so
...now using this you can come to teh same conclusing Mr. Fantastic did...this is a little harder but a neat way of doing it
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