How to differentiate x^(2/3)+y^(2/3)=4?

Lexi Holmes

Lexi Holmes

Answered question

2023-03-21

How to differentiate x 2 3 + y 2 3 = 4 ?

Answer & Explanation

Attagswalmec6

Attagswalmec6

Beginner2023-03-22Added 6 answers

Consider that in this instance of implicit differentiation y is function of x so you get:
2 3 x 2 3 - 1 + 2 3 y 2 3 - 1 d y d x = 0
d y d x = - x - 1 3 y - 1 3 = - y x 3
Where y = ( 4 - x 2 3 ) 3 2 from your original expression.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?