# Implicit derivative at a particular point

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

Implicit derivative at a particular point

*x*y, what will be input command in sage math for calculation of dy/dx at (1,2).

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Asked: ** 2021-07-13 07:34:53 +0200 **

Seen: **128 times**

Last updated: **Jul 13 '21**

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

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

xyy=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)

Have you tried substituting the desired values for x,y into your general expression for the derivative?