Find an equation for the line perpendicular to the tangent line to the curve yequalsx cubed minus 16 x plus 6 at the point (4,6). b. What is the smallest slope on the curve? At what point on the curve does the curve have this slope? c. Find equations for the tangent lines to the curve at the points where the slope of the curve is 32.

The answer to this question can be defined as follows:

Step-by-step explanation:

In point (a) Equation:

point: (4, 6)

Tangent of slop:

The line is perpendicular to the tangent then slop is:

The Formula to the equation of a line:

In option B:

Slope (m) =

To calculate the smallest slope, differentiate m.

Point on the curve is (x,y) = (0,6)

In option C:

each side has a different length.  

step-by-step explanation: