Find (dy)/(dx) by implicit differentiation. tan(x+y)=x

Francis Oliver

Francis Oliver

Answered question

2022-10-11

Find d y d x by implicit differentiation.
tan ( x + y ) = x
So far, I got to
sec 2 ( x + y ) ( 1 + d y d x ) = 1
but then im lost.. can someone please help and explain? I would really appreciate it!!

Answer & Explanation

dkmc4175fl

dkmc4175fl

Beginner2022-10-12Added 15 answers

Well, you have sec 2 ( x + y ) ( 1 + y ) = 1, from which you get y = cos 2 ( x + y ) 1.
Elise Kelley

Elise Kelley

Beginner2022-10-13Added 2 answers

you need to foil sec 2 ( x + y ) ( 1 + y ( x ) ) = 1 and then solve for y ( x ).
Think about sec 2 ( x + y ) as one whole.
Hint: the answer will be in terms of x and y

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