Home
Class 12
MATHS
The slope of the tangent to the curve y=...

The slope of the tangent to the curve `y=4-x^(2)` at x = 1 is

A

1

B

-2

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION II) |11 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION III) |11 Videos

  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos
BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE
  1. The slope of the tangent to the curve y=4-x^(2) at x = 1 is

    Text Solution

    |

  2. Find the interval in which the function f(x)=2x^(3)-12x^(2)+18x-5 is s...

    Text Solution

    |

  3. Of all the rectangles, each of which perimeter 32 metres, find one hav...

    Text Solution

    |

  4. Show that of all rectangles inscribed in a given circle the square has...

    Text Solution

    |

  5. Use differentials to approximate sqrt49.5

    Text Solution

    |

  6. Find the point on the curve y^2 = 4x which is nearest to the point (2,...

    Text Solution

    |

  7. Find the point on the curve y^(2)=2x, which is nearest to the point (1...

    Text Solution

    |

  8. Of all the closed cylindrical cans (right circular), of a given volume...

    Text Solution

    |

  9. The radius of a spherical soap bubble is increasing at the rate of 0.5...

    Text Solution

    |

  10. The radius of a spherical roap bubble is increasing at the rate of 0.2...

    Text Solution

    |

  11. The radius of a spherical roap bubble is increasing at the rate of 0.4...

    Text Solution

    |

  12. Find the equation of the tangent to the curve y=2x^(3)+7, which is per...

    Text Solution

    |

  13. Find the equation of the tangent to the curve y=x^(2)+4x+6, which is p...

    Text Solution

    |

  14. Find the equation of the tangent to the curve x^(3)+4y=4, which is per...

    Text Solution

    |

  15. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  16. Find the intervals in the following functions are strictly increasing ...

    Text Solution

    |

  17. Find the intervals in the following functions are strictly increasing ...

    Text Solution

    |

  18. Use differentials to approximate sqrt(25.3)

    Text Solution

    |

  19. Use differentials to approximate 3sqrt(26)

    Text Solution

    |

  20. Use differentials to approximate sqrt(0.60)

    Text Solution

    |

  21. A wire of length 28 m is to be cut into two pieces, one of the pieces ...

    Text Solution

    |