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How to find the critical points of absolute value function



 
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miriam03
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PostPosted: Thu Mar 08, 2007 2:40 am    Post subject: How to find the critical points of absolute value function
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How do u find the critical points (where the derivative equals 0) of an absolute value function such as

f(x) = abs value(x - 2) - abs value(x + 3) + abs value(x + 1)
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chris
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PostPosted: Sun Mar 11, 2007 10:41 am    Post subject:
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Visualize the function. Find the "corners", i.e. the points where the derivative changes abrupty. See what the derivative is (positive or negative) when approaching from the left and from the right. If the derivative changes sign, then the intuition says that this must be a critical point, because the function was, say, increasing to the left, but decreasing to the right.

I leave the math details to you. Mr. Green
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