If y = sin -1 [ 4 sin−3 cos / 5 ] find dy/dx
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Answer:
2x+3y=sinx
Differentiating both sides w.r.t. x, we obtain
dx
d
(2x+3y)=
dx
d
(sinx)
⇒
dx
d
(2x)+
dx
d
(3y)=cosx
⇒2+3
dx
dy
=cosx
⇒3
dx
dy
=cosx−2
∴
dx
dy
=
3
cosx−2
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