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If f'(x)= sqrt(2x^(2)-1) and y=f(x^(2)),...

If `f'(x)= sqrt(2x^(2)-1) and y=f(x^(2)),then (dy)/(dx)` at x = 1 is

A

2

B

1

C

-2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`y=f(x^(2))`
`implies" "(dy)/(dx)=f'(x^(2))xx2x`
`implies" "(dy)/(dx)=sqrt(2x^(4)-1)xx2ximplies((dy)/(dx))_(x=1)=sqrt(2-1)xx2=2`
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Section I - Solved Mcqs
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