Home
Class 12
MATHS
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

`1/4`

B

`1/2`

C

1

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHEMATICS 2014

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|45 Videos
  • GGSIPU MATHMATICS 2012

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|50 Videos

Similar Questions

Explore conceptually related problems

The slopes of the tangents to the curve y=(x+1)(x-3) at the points where it cuts the x - axis, are m_(1) and m_(2) , then the value of m_(1)+m_(2) is equal to

The slope of the tangent to the curve y=x^(2) -x at the point where the line y = 2 cuts the curve in the first quadrant, is

Find the slope of the tangents to the curve y=x^2(x+3) at the points where it crosses the x-axis.

Let f :[0,2p] to [-3, 3] be a given function defined at f (x) = cos ""(pi)/(2). The slope of the tangent to the curve y = f^(-1) (x) at the point where the curve crosses the y-axis is:

Slope of the tangent to the curve y=x^(2)+3 at x=2 is

Find the slope of the tangent to the curve y=x^(3)-x+1 at the point whose x - coordinate is 3.

The slope of the tangent to the curve y=sqrt(4-x^(2)) at the point where the ordinate and the abscissa are equal is -1 (b) 1 (c) 0 (d) none of these

Find the slope of the tangent to the curve y=3x^(2)+1 at x=1

The slope of the tangent to the curve x^(3)-x+1 at the point where the curve cuts the Y axis is .. (A) 1 (B) -1 (C) 3 (D) -3

Find the slope of the tangent to the curve y(x^2+1)=x at the point (1, 1/2)

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHMATICS 2011-MCQ
  1. Let vecd=lambda(veca xx vecb)+mu(vecb xx vecc)+nu(vecc xx veca) and [(...

    Text Solution

    |

  2. The length of the normal to the curve y=a cos h (x/a) at any point var...

    Text Solution

    |

  3. The slope of the tangent of the curve y=int0^x (dx)/(1+x^3) at the poi...

    Text Solution

    |

  4. If f (x)=a ln |x| +bx^(2) +x has extremas at x=1and x=3 then:

    Text Solution

    |

  5. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

    Text Solution

    |

  6. Let z1 and z2 be theroots of the equation z^2+az+b=0 z being compex. F...

    Text Solution

    |

  7. If f : R->R is continuous such that f(x + y) =f(x). f(y) AA x, y in R ...

    Text Solution

    |

  8. IF the function f(x) defined by f(x) = x sin ""(1)/(x) for x...

    Text Solution

    |

  9. The value of the determinant |{:(1,a, a^(2)-bc),(1, b, b^(2)-ca),(1, c...

    Text Solution

    |

  10. cos1+cos2+cos3+...+cos180

    Text Solution

    |

  11. IF a,b,c are in G.P and a^(1/x)=b^(1/y)=c^(1/z) then x,y,z are in

    Text Solution

    |

  12. If A is a square matrix such that A^2 = I, then A^(-1) is equal to (i...

    Text Solution

    |

  13. 5th term from the end in the expansion of (x^2/2-2/x^2)^12 is

    Text Solution

    |

  14. Which of the following is not a logical statement?

    Text Solution

    |

  15. tan^(-1)1+tan^(-1)2+tan^(-1)3=

    Text Solution

    |

  16. int(dx)/(1+e^(-x)) is equal to

    Text Solution

    |

  17. IF |a|=8,|b|=3 and |a×b|=12, then the value of a.b is

    Text Solution

    |

  18. The value of ""^0C0-^nC1+^nC2-....+ -1^(n^n)Cn is

    Text Solution

    |

  19. Coefficients of variation of two distributions are 50 and 60, and thei...

    Text Solution

    |

  20. If l,j,k are the usual three perpendicular unit vectors then the val...

    Text Solution

    |