Determine the intervals where the graph is increasing, decreasing, has a relative maxiumum , and/or has a relative minimum.   f(x) = 11x^3 - 8x^2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine the intervals where the graph is increasing, decreasing, has a relative maxiumum , and/or has a relative minimum.

 

f(x) = 11x^3 - 8x^2

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Step 1

A function is increasing in the interval: a, b, if f(a)<f(b) for a<b. A function is decreasing in the interval: a, b, if f(a)>f(b) for a<b.

The double derivative test is done to determine the local maximum or minimum of a function.

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