# 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).

Please start posting anonymously - your entry will be published after you log in or create a new account.

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

Seen: **51 times**

Last updated: **Jul 13 '21**

Sample question: How do I compute symbolic integrals like $\int{sin(x) tan(x)} dx$

How do I understand the result of symbolic integrals

why is symbolic comparison so slow?

Numerical integration in a function

Differentiating Complex Conjugated Functions

A Combinatorics Problem - Product Rule Indices

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.

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?