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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 ` y=int_(x^(2))^(x^(4)) (In t) dt , "then" lim_(x to 0^(+)) (dy)/(dx)` is equal to

A

0

B

1

C

2

D

`-1`

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A
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Passage Based Questions)
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  2. Suppose lim(xrarr0)(int(0)^(x)(t^(2) dt)/((a+t^(r))^(1//p)))/(bx- sinx...

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  3. Suppose sum(x to 0)(int(0)^(x)(t^(2) dt)/((a+t^(r))^(1//p)))/(bx- sin...

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  5. Suppose f(x) and g(x) are two continuous functions defined for 0<=x<...

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  7. We are given the curvers y=int(- infty)^(x) f(t) dt through the point ...

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  8. We are given the curves y=int(-oo)^(x)f(t) dt through the point (0,(...

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  9. We are given the curvers y=int(- infty)^(x) f(t) dt through the point ...

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  10. f(x)=int(0)^(x) (4t^(4)-at^(3)) dt and g(x) is quadratic satifying g(...

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  11. f(x)=int(0)^(x) (4t^(4)-at^(3)) dt and g(x) is quadratic satifying g(...

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  12. f(x)=int(0)^(x) (4t^(4)-at^(3)) dt and g(x) is quadratic satifying g(...

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  13. If y = underset(u(x))overset(v(x))intf(t) dt, let us define (dy)/(dx) ...

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  14. Let y= int(u(x))^(y(x)) f (t) dt, let us define (dy)/(dx) as (dy)/(dx)...

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  15. If y = underset(u(x))overset(v(x))intf(t) dt, let us define (dy)/(dx) ...

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