Implicit derivative at a particular point

asked 2021-07-13 07:34:53 +0200

RGG gravatar image

For the function f(x,y) = x^3 + y^3 - 6xy, what will be input command in sage math for calculation of dy/dx at (1,2).

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Comments

  1. Homework ?
  2. What do you mean ?
Emmanuel Charpentier gravatar imageEmmanuel Charpentier ( 2021-07-13 09:52:19 +0200 )edit

We can find implicit derivative as follows x = var('x') y = var('y')

f(x,y) = x^3 + y^3 - 6xy

y=function('y')(x) temp=diff(f(x,y)) solve(temp,diff(y))

But my question is how we can find the value of implicit derivative at point (1,2)

RGG gravatar imageRGG ( 2021-07-14 07:31:29 +0200 )edit