Eduprobe
Question:
Show that the function f(x) = x³ - x² + 6x - 100 is increasing on R.
Solution:
d/dx(f(x)) = 3x² - 2x + 6
Discriminant of d/dx(f(x)) = 36 - 4(6)(3) = -12 < 0
The coefficient of x² = 3 > 0
d/dx(f(x)) = 3x² - 2x + 6
Discriminant of d/dx(f(x)) = 36 - 4(6)(3) = -12 < 0
The coefficient of x² = 3 > 0