How to use implicit differentiation to find (dy)/(dx) given 3x^2+3y^2=2?

Ideovedobpusf

Ideovedobpusf

Answered question

2023-03-25

How to use implicit differentiation to find d y d x given 3 x 2 + 3 y 2 = 2 ?

Answer & Explanation

Padria4mia

Padria4mia

Beginner2023-03-26Added 6 answers

Circle differentiation that is implicit 3 x 2 + 3 y ^ 2 = 2 gives
6 x + 6 y d y d x = 0 .
Solving for d y d x gives
d y d x = - x y
inpuctists8f5

inpuctists8f5

Beginner2023-03-27Added 5 answers

differentiate implicitly with respect to x
noting that
d d x ( y ) = d y d x and d d x ( y 2 ) = 2 y d y d x
6 x + 6 y d y d x = 0
6 y d y d x = - 6 x
d y d x = - 6 x 6 y = - x y

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