wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find dydxin the following questions:

y=sin1(2x1x2), 12<x<12

Open in App
Solution

Let sin1(2x1x2)y=sin1(2sin θ1sin2θ) ( 1sin2θ=cos2θ)

y=sin1(2sinθ cosθ)=sin1(sin 2θ)

y=2θy=2sin1x

Differentiating both sides w.r.t. x, we get

dydx=21x2 ( sin1x=11x2)


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
General and Particular Solutions of a DE
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon