Use implicit differentiation to find the derivative of arcsin(y+x)

Cyrus Munoz

Cyrus Munoz

Open question

2022-08-20

Use implicit differentiation to find the derivative of arcsin ( y + x )
I have no idea how to proceed. I now that the derivative of arcsin ( x ) is 1 1 x 2 but I don't know how to incorporate that into this implicit differentiation problem.

Answer & Explanation

Jonathan Bailey

Jonathan Bailey

Beginner2022-08-21Added 10 answers

d d x arcsin ( x + y ) = 1 1 ( x + y ) 2 × d d x ( x + y ) = y + 1 1 ( x + y ) 2
It is basically:
d d x g ( f ( x , y ( x ) ) ) = d g d f d f d x

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