At what points on the graph of fx 2x3 3x2 8x is the slope
At what points on the graph of f(x) = 2x^3 - 3x^2 - 8x is the slope of the tangent line 4?
Solution
f(x) = 2x3 - 3x2 - 8x
f\'(x) = 6x2 -6x - 8 = 4
=> 6x2 -6x - 12 = 0
This gives x = 2 , -1
The corresponding f(x) (at x = 2) = -12
f(x) (at x =-1) = 3
