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Mathematics-Online problems: | ||

## Solution to the problem of the (previous) week |

** Problem:**

- Find the extremum of the polynomial in terms of the parameter and sketch the graph of the derivative for .
- For which do the tangent lines, whose slope is touch the polynomial at exactly points What is the area of the square enclosed by these tangents?

**Answer:**

= | , | |

= | ||

= | , | |

= | , | |

= |

(The results should be correct to four decimal places.)

** Solution:**

For the abscissa of we have

In order to determine the area of the square, we first have to find the points where the tangent lines intersect the -axis:

[problem of the week]