if y=sin(x ^x)+ tan^-1 x , then find dy/dx
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Answer:
Correct option is
A
1+x
2
x
Given, y=sec(tan
−1
x)
=sec(sec
−1
1+x
2
)
=
1+x
2
On differentiating both sides with respect to x, we get
dx
dy
=
2
1+x
2
1
(2x)
=
1+x
2
x
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