Question

Examine for maxima and minima of the given function: f(x)= 3x²-18x+24.

Answer 1

the derivative of the fuction is zero at maxima and minima hence

f'(x)=6x-18=0

thus at x=3 is the critical point

f''(x)=6 thus the fuction will have minima at x=3 and maxima will be at +-infinity

minima=-3 and maxima=infiinity