How do you find dy/dx if x+tan(xy)=0?

Heidi Tate

Heidi Tate

Answered question

2023-03-11

How to find dy/dx if x + tan ( x y ) = 0 ?

Answer & Explanation

izprsiti3ou

izprsiti3ou

Beginner2023-03-12Added 3 answers

Step 1
You must remember that y is a function of x and derive it accordingly, as d y d x getting:
x + tan ( x y ) = 0 1 + 1 cos 2 ( x y ) [ y + x d y d x ] = 0 1 + y cos 2 ( x y ) + x cos 2 ( x y ) d y d x = 0
Step 2
d y d x = ( 1 y cos 2 ( x y ) ) cos 2 ( x y ) x = 1 x ( cos 2 ( x y ) y )

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