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Let y= int(u(x))^(y(x)) f (t) dt, let us...

Let` y= int_(u(x))^(y(x)) f (t) dt,` let us define `(dy)/(dx) as (dy)/(dx)=v'(x) f^(2) (v(x)) - u' (x) f^(2) (u(x))` and the equation of the tangent at `(a,b) and y-b=((dy)/(dx))(a,b) (x-a)`.
If `f(x)=int _(x)^(x^2) t^(2) dt " then" (d)/(dx) f(x) at x = 1 ` is

A

`x+y=1`

B

`y=x-1`

C

`y=x`

D

`y=x+1`

Text Solution

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The correct Answer is:
B
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