Maxima and Minima

Question

The function f(x) = 2x³ - 33x² + 180x - 10 has two critical points. The smaller one equals _________ and the larger one equals ________

Smaller:

Larger:

Answer 1

f(x) = 2x³-33x²+180x-10

f'(x) = 6x²-66x+180

Divide through by 6 and set to zero, then solve for x.

x²-11x+30 = 0

(x-5)(x-6) = 0

x = 5, 6

Smaller: 5

Larger: 6