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

If `f'(x) = sqrt(2 x^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

`y=f(x^(2))`
`"or "(dy)/(dx)=f'(x^(2))2x=2xsqrt(2(x^(2))^(2)-1)`
`"At "=1, (dy)/(dx)=2xx1xxsqrt(2-1)=2`
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