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

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

`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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Knowledge Check

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

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    B
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