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 :

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

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

Find the equation of tangent to the curve y= x^(3)-x , at the point at which slope of tangent is equal to zero.

Statement 1 : The line y=36x+1 is a tangent to the curve y=2x^(3)-15x^(2)+36x+1 at the points with abscissa equal to 0 and 5. because Statement 2 : For the given curve slope of the tangent at x=0 or x = 5 is 36.

If the tangent to the curve y=x^(3)+ax+b at (1,6) is parallel to the line x-y+5=0 , find a and b

Let L be a common tangent line to the curves 4x^2+9y^2=36 and (2x)^2+(2y)^2=31 . Then the square of the slope of the line L is "________"

The slope of the tangent line to the curve y=x^3-2x+1 at x=1 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 slope of the tangent to the curve y=-x^(3)+3x^(2)+9x-27 is maximum when x equals

The area of triangle formed by the lines x-y=0, x+y=0 and any tangent to the hyperbola x^(2)-y^(2)=16 is equal to