We are given
To find the stationary points, we take the derivative, set it equal to zero, and solve for x:
f'(x) = | 3(x-1)1/3 | - 3 |
Setting this equal to zero gives
| = 0 | ||
| = 3 |
Cross-multiplying gives
(x-1)1/3 | = | 9 |
Cubing both sides gives the single solution
x-1 | = | 729 | , so that |
x | = | 729 | 1.0110 |
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