Maxima and Minima Worksheet
Calculate the Maximums and Minimums of the Following Functions:
1 f(x) = x3 − 3x + 2
2 
3 
4 
5 
6 
7 
1
f(x) = x3 − 3x + 2
f'(x) = 3x2 − 3 = 0
f''(x) = 6x
f''(−1) = −6 Maximum
f''(1) = 6 Minimum
f(−1) = (−1)3 − 3(−1) + 2 = 4
f(1) = (1)3 − 3(1) + 2 = 0
Maximum(−1, 4) Minimum(1, 0)
2
3
4
5
6
7
