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The slope of the tangent of the curve y=...

The slope of the tangent of the curve `y=int_0^x (dx)/(1+x^3)` at the point where `x = 1` is

A

`(1)/(2)`

B

`1`

C

`(1)/(4)`

D

`(1)/(5)`

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A
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AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. The slope of the tangent of the curve y=int0^x (dx)/(1+x^3) at the poi...

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  2. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

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  3. The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at...

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  4. If m is the slope of a tangent to the curve e^y=1+x^2, then (a)|m|>1 ...

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  5. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

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  6. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

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  7. The sum of the intercepts made on the axes of coordinates by any tange...

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  8. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at ...

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  9. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is ver...

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  10. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

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  11. If a function f(x) increases in the interval (a, b). then the function...

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  12. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

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  13. If f(x)=x.e^(x(1-x), then f(x) is

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  14. Which of the following is correct ?

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  15. Find the value of a, if the equation x-sinx=a has a unique root ...

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  16. Number of real roots of the equation e^(x-1)-x=0 is

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  17. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

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  18. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

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  19. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a...

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  20. The maximum value of ((1)/(x))^(2x^(2)) is

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