Home
Class 12
MATHS
If the slope of line through the origin ...

If the slope of line through the origin which is tangent to the curve `y=x^3+x+16` is `m ,` then the value of `m-4` is____.

Text Solution

Verified by Experts

The correct Answer is:
13
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( CONCEPT - BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)|45 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Solved Examples ( LEVEL -2 SINGLE CORRECT ANSWER TYPE QUESTIONS )|25 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

If the slope of the line through the origin which is tangent to the curve y=x^(3)+x+10 is m , then the value of m-12 is

If the slope of a line that passes through the origin which is tangent to y= x^(3) + x + 54 is m, then m is equal to

The value of a for which y=27x+ a is a tangent to the curve y=x^(3) are

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

Let l be the line through (0,0) an tangent to the curve y = x^(3)+x+16. Then the slope of l equal to :

Point at which the tangent to the curve y=3x-2x^(2) has slope m=-1 is

The slope of the tangent line to the curve y=x^3-2x+1 at x=1 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=3x^(4)-4x at x=4

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

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Solved Examples ( NUMERICAL ANSWER TYPE QUESTIONS )
  1. If f(x) = |x-7| + |x -10|+ |x-12| has a minimum at x=k, then the value...

    Text Solution

    |

  2. Let f (x- = tan ^(-1) ((1-x)/(1+x)). Then difference of the greatest a...

    Text Solution

    |

  3. The absolute maximum value of f(x) = (5)/(3x^(4) + 8x^(3) -18x^(2) + 6...

    Text Solution

    |

  4. Number of real roots of the equation 3x^(5) + 15x -8=0 is

    Text Solution

    |

  5. If the value of greater of sin x + tan x and 2x (0 lt x lt pi//2) " at...

    Text Solution

    |

  6. If the greatest value of y= x/log x on [e, e^(3)] is u then u is equ...

    Text Solution

    |

  7. If (u,v) are the coordinates of the point on the curve x^(3) =y (x-4)^...

    Text Solution

    |

  8. If A gt 0 ,B gt 0 and A+B=pi/3,then the maximum value of tan A tan B ,...

    Text Solution

    |

  9. If f(theta) = 64 sec theta + 27 cosec theta " when " theta lies in (0,...

    Text Solution

    |

  10. Show that the area of the triangle formed by the pósitive x-axis and t...

    Text Solution

    |

  11. A curve is represented by the equations x=sec^2ta n dy=cott , where t ...

    Text Solution

    |

  12. If the slope of line through the origin which is tangent to the curve ...

    Text Solution

    |

  13. If the point on y = x tan alpha- (ax^(2))/(24^(2) cos^(2) alpha) (alph...

    Text Solution

    |

  14. f: R rarr R be defined as f(x) = |x| + |x^(2) -1|. The total number of...

    Text Solution

    |

  15. The number of non-zero integral solution of K for which the equation (...

    Text Solution

    |

  16. The least integral value of x where f(x)=(log)(1/2)(x^2-2x-3) is monot...

    Text Solution

    |

  17. Let P(x) be a polynomial of degree 5 having extremum at x= -1 , 1 and ...

    Text Solution

    |

  18. Let f(x) = {(|x^(2)-2x| +a",",0 le x lt 5//2),(-2 x + 5",",x ge 5//2):...

    Text Solution

    |