Question

The tangent of the line of the curve
y=x^3-6x^2-34x-9

Answer 1

Did you remember how I showed you?

Answer 2

sorry I didn't finish the question. It should be: The tangent of the line of the curve y=x^3-6x^2-34x-9 has a slope 2 at two points on the curve. find the two points.

Answer 3

This one is a tad bit trickier

Answer 4

y' = 3x^2 - 12x - 34

2 = 3x^2 - 12x - 34
0 = 3x^2 - 12x - 32
0 = 3(x^2 - 4x - 8)
0 = x^2 - 4x - 8

Solve for the zeroes and those are the x values for which there is a slope of 2