The function f(x) = -2x3 – 3x? + 12x – 4 is increasing on the interval ( ). It is decreasing on the interval (-ol ) and the interval ( od). The function has a local maximum at

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The function 

\[ f(x) = -2x^3 - 3x^2 + 12x - 4 \]

is increasing on the interval \((\ \_\_\_ ,\ \_\_\_ )\).

It is decreasing on the interval \(( -\infty ,\ \_\_\_ )\) and the interval \((\ \_\_\_ ,\ \infty )\).

The function has a local maximum at \(\_\_\_\_\_\_\_\_ \).
Transcribed Image Text:The function \[ f(x) = -2x^3 - 3x^2 + 12x - 4 \] is increasing on the interval \((\ \_\_\_ ,\ \_\_\_ )\). It is decreasing on the interval \(( -\infty ,\ \_\_\_ )\) and the interval \((\ \_\_\_ ,\ \infty )\). The function has a local maximum at \(\_\_\_\_\_\_\_\_ \).
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