How to determine dy/dx given x+siny=y+1?

Chana Rivera

Chana Rivera

Answered question

2023-02-07

How to determine dy/dx given x + sin y = y + 1 ?

Answer & Explanation

x3wolfygri

x3wolfygri

Beginner2023-02-08Added 6 answers

d d x ( x + sin y ) = d d x ( y + 1 )
d d x ( x ) + d d x ( sin y ) = d d x ( y ) + d d x ( 1 )
1 + cos y ( d y d x ) = 1 ( d y d x ) + 0
1 = 1 ( d y d x ) - cos y ( d y d x )
1 = d y d x ( 1 - cos y )
d y d x = 1 1 - cos y

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