Solution 1.1:1b
From Förberedande kurs i matematik 2
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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}} | ||
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+ | ||<small>The graph of ''f''(''x'') has horizontal tangents<br> at ''x'' = -3 and ''x'' = 2</small> | ||
+ | |} | ||
- | In the figure, we see that this happens when | + | In the figure, we see that this happens when <math>x=-3</math> and <math>x=2\,</math>. |
- | <math>x=- | + | |
- | and | + | |
- | <math>x=\ | + |
Current revision
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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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\,.