Find dy/dx if x= cos y?

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Find dy/dx if x= cos y?

2007-10-10 15:26:31 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

dy/dx if x= cos y
dy/dx of x=1
dy/dx of cos=-sin
so
1=-siny * dy/dx
note dy/dx because of chainrule, you have to get derivitave of y, which is y'
1=-sin(y) * y'
(1/y'=-siny)^-1
y'=-csc(y)

2007-10-10 15:31:36 · answer #1 · answered by Anonymous · 1⤊ 0⤋

dx/dy = - sin y
dy/dx = - 1 / sin y = - cosec y

2007-10-13 06:16:13 · answer #2 · answered by Como 7 · 0⤊ 0⤋