Home
Class 12
MATHS
The slope of the normal to the curve y=2...

The slope of the normal to the curve `y=2x^(2)+3sin x` at x = 0 is ……….

A

3

B

`(1)/(3)`

C

`-3`

D

`-(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE - 6.4|23 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE - 6.5|47 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE - 6.2|23 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

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

The distance from the (0, 0) of a normal to the curve y =e^(2x)+x^(2) atx=0 is ……..

Find the slope of the tangent to the curve y=3x^(4)-4x at x = 4.

Find the slope of the tangent to the curve y=(x-1)/(x-2), x ne 2 at x = 10.

The equation of normal to the curve y = tan x at (0, 0) is …………… .

Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin^(2)x) at x = 0.

Find the slope of the normal to the curve x=1-a sin theta, y= b cos^(2)theta at theta=(pi)/(2) .

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -EXERCISE - 6.3
  1. Find the equations of all lines having slope 0 which are tangent to th...

    Text Solution

    |

  2. Find points on the curve (x^(2))/(9)+(y^(2))/(16)=1 at which the tange...

    Text Solution

    |

  3. Find the equations of the tangent and normal to the given curves at th...

    Text Solution

    |

  4. Find the equations of the tangent and normal to the given curves at th...

    Text Solution

    |

  5. Find the equations of the tangent and normal to the given curves at th...

    Text Solution

    |

  6. Find the equations of the tangent and normal to the given curves at th...

    Text Solution

    |

  7. Find the equations of the tangent and normal to the given curves at th...

    Text Solution

    |

  8. Find the equation of the tangent line to the curve y = x^(2) – 2x +7 w...

    Text Solution

    |

  9. Show that the tangents to the curve y=7x^(3)+11 at the point where x =...

    Text Solution

    |

  10. Find the points on the curve y=x^(3) at which the slope of the tangent...

    Text Solution

    |

  11. For the curve y=4x^(3)-2x^(5), find all the points at which the tangen...

    Text Solution

    |

  12. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

    Text Solution

    |

  13. Find the equation of the normal at the point (am^(2), am^(3)) for the ...

    Text Solution

    |

  14. Find the equation of the normals to the curve y=x^(3)+2x+6 which are p...

    Text Solution

    |

  15. Find the equations of the tangent and normal to the parabola y^(2)=4ax...

    Text Solution

    |

  16. Prove that the curves x=y^(2) and xy = k cuts at right angles if 8k^(2...

    Text Solution

    |

  17. Find the equations of the tangent and normal to the hyperbola (x^(2))/...

    Text Solution

    |

  18. Find the equation of the tangent to the curve y=sqrt(3x-2) which is pa...

    Text Solution

    |

  19. The slope of the normal to the curve y=2x^(2)+3sin x at x = 0 is ……….

    Text Solution

    |

  20. The line y = x + 1 is a tangent to the curve y^(2) = 4x at the poin

    Text Solution

    |