Does the parabola y 2x2 13x 5 have a tangent whose slope i
Does the parabola y = 2x2 -13x + 5 have a tangent whose slope is -1? If so find an equation for the line and the point of tangency. If not, why not?
Solution
Derivative is 4x-13 which is the slope of the tangent at any point. 4x-13= -1 x= 3 y= -16 -16= -3 +b b= -13 Y= - x -13 is the equation of the line at the point of tangency.