Question
Show that the function $f(x)=2 x^{3}-6 x^{2}+6 x-5$ is increasing for all $x$.
Step 1
The derivative of a function gives us the slope of the tangent line at any point, which can tell us whether the function is increasing or decreasing. The derivative of $f(x)$ is given by: \[f'(x) = \frac{d}{dx}(2x^3 - 6x^2 + 6x - 5)\] Show more…
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Key Concepts
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