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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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AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
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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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  7. The sum of the intercepts made on the axes of coordinates by any tange...

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

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

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

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

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  17. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

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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-p)^2+ (x -q)^2 + (x - r)^2. Then f(x) has a minimum at ...

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