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

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise JEE Previous Year|9 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Multiple)|10 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|17 Videos

Similar Questions

Explore conceptually related problems

The line y = mx + 1 is a tangent to the curve y^(2) = 4x if the value of m is

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

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

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

Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has its slope (2)/(3) .

Find the equation of all lines having slope 2 which are tangents to the curve y=(1)/(x-3) , x ne 3 .

The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = 0 is

A curve is defined parametrically be equations x=t^2a n dy=t^3 . A variable pair of perpendicular lines through the origin O meet the curve of Pa n dQ . If the locus of the point of intersection of the tangents at Pa n dQ is a y^2=b x-1, then the value of (a+b) is____

Find the equations of all lines having slope 0 which are tangent to the curve y=(1)/(x^(2)-2x+3) .

Find the slope of the tangent to the curve y = x^(3) –3x + 2 at the point whose x-coordinate is 3.