find dy/dx of cos inverse x in terms of Y alone

Question

question of class 12 in chapter 5 ex:5.7 (part -1)

 

Answer 1

Hello Mudit,

If I understand your question correctly , y = cos^-1x then dy/dx = ?

 

by definition cos y = x, differentiating both sides w.r.t x we get

 

-sin y (dy/dx) = 1, and thus dy/dx is (-cosec y) 

 

Wish you the Best

 

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Pradip M