Implicit Differentiation with e^x

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Calculus: Consider the curve defined by exp(xy) + x^2 + y^2 = 5. Use implicit differentiation to find the tangent line to the curve at (2, 0). Then use the tangent line to approximate the point near (2, 0) with x = 2.01.
  1. MathDoctorBob
  2. Mathematics
  3. calculus
  4. implicit
  5. differentiation
  6. derivative
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@ElectroSonic15 Thanks for the comment! - Bob

MathDoctorBob
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Very useful, thanks for the video, it helped me a lot understanding Impliciti differentiations for exponentials !

piratemorocco
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You lost me at Newton's method. Where did g(y) come from? Shouldn't it be equal to zero since you subtracted the 5? You didn't explain Newton's method very well in my opinion. You just started talking about setting x to zero when there was no x in the equation. Then you said we were going to run a few iterations of this. Iterations of what??? I have no idea what we are running. This only confused me more. Also, you didn't explain very well why we were plugging in 2.01. I just kind of went with it but I don't know why you did that.

zacharymunro