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Question : 15
Total: 29
Differentiate the following with respect of x:
y =t a n − 1 (
)
y =
Solution:
Let x = cos 2θ ⇒ θ =
c o s − 1
∴√ 1 + x √ 1 + c o s 2 θ √ 1 + 2 c o s 2 θ − 1 √ 2
√ 1 − x √ 1 − c o s 2 θ √ 1 − 1 − 2 s i n 2 θ √ 2
Let y =t a n − 1 |
|
=t a n − 1 |
|
=t a n − 1 |
|
=t a n − 1 { t a n (
− θ ) }
=
c o s − 1
∴
−
( −
)
∴
Let y =
=
=
=
=
∴
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