Solution 1.1:1b

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At those points where the graph of the function has a horizontal tangent (gradient equal to zero), the derivative is zero.
At those points where the graph of the function has a horizontal tangent (gradient equal to zero), the derivative is zero.
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||{{:1.1 - Figure - Solution - The graph of f(x) in exercise 1.1:1 with horizontal tangents}}
||{{:1.1 - Figure - Solution - The graph of f(x) in exercise 1.1:1 with horizontal tangents}}
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Current revision

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\,.