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OpenStudy (babyslapmafro):
What is the smallest possible slope for a tangent line to the grap of the equation y=x^3-3x^2+5x
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OpenStudy (babyslapmafro):
Here is what I have so far... y'=3x^2-6x+5
OpenStudy (babyslapmafro):
\[Slope of \tan-line: y=k(x-x_0)+y_0\]
OpenStudy (babyslapmafro):
\[where: k=y'(x_0)\]
OpenStudy (anonymous):
the graph of y' is a parabola, then it has a minimum value since its turned upwards, so the only thing you need to do is find the minimum value of the parabola.
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