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

If `f^(prime)(x)=sqrt(2x^2-1)` and `f(x^2),` then `(dy)/(dx)` at `x=1` is equal to 2 (b) 1 (c) `-2` (d) `-1`

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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