Question
Let $f(x)=x^{4}-4 x^{3}+6 x^{2}-4 x+1$ then(a) $f$ increases on $[1, \infty)$(b) $f$ decreases on $[1, \infty)$(c) $f$ has a minimum at $x=1$(d) $f$ has neither maximum nor minimum
Step 1
The derivative of a function gives us the slope of the function at any point, which can tell us where the function is increasing or decreasing. The derivative of $f(x)$ is given by: \[f'(x) = 4x^3 - 12x^2 + 12x - 4\] Show more…
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