NCERT Class XI Mathematics - Limits and Derivatives - Solutions
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Question : 71
Total: 72
Solution:
Let f (x) =
⇒ f (x) =x ( 1 + t a n x ) − 1 ... (i)
Differentiating (i) with respect to x, we get
[f (x)] = 1 . ( 1 + t a n x ) − 1 + x ( s e c 2 x ) ( − 1 ) ( 1 + t a n x ) − 2
=( 1 + t a n x ) − 1 - x ( s e c 2 x ) ( 1 + t a n x ) − 2
=
−
=
⇒ f (x) =
Differentiating (i) with respect to x, we get
=
=
=
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