Lösung 1.1:1b

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||{{:1.1 - Figure - Solution - The graph of f(x) in exercise 1.1:1 with horizontal tangents}}
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||<small>The graph of ''f''(''x'') has horizontal tangents<br> at ''x''&nbsp;=&nbsp;-3 and ''x''&nbsp;=&nbsp;2</small>
||<small>The graph of ''f''(''x'') has horizontal tangents<br> at ''x''&nbsp;=&nbsp;-3 and ''x''&nbsp;=&nbsp;2</small>

Version vom 13:35, 10. Mär. 2009

At those points where the graph of the function has a horizontal tangent (gradient equal to zero), the derivative is zero.

[Image]

The graph of f(x) has horizontal tangents
at x = -3 and x = 2

In the figure, we see that this happens when \displaystyle x=-3 and \displaystyle x=2\,.