Question
Show that the function $f(x)=x^{3}-3 x^{2}+3 x$ is increasing for all $x$.
Step 1
The derivative of a function gives us the slope of the function at any point, which can tell us whether the function is increasing or decreasing. The derivative of $f(x)$ is given by: \[f'(x) = 3x^{2} - 6x + 3\] Show more…
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