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If y = int(u(x))^(v(x))f(t) dt, let us d...

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

A

`y = x+1`

B

`x+y = 1`

C

`y = x - 1`

D

`y =x`

Text Solution

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The correct Answer is:
C
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