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Home Q & A Board Science-Related Homework Help Mathematics Calculus
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Catracho Catracho
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4 years ago Edited: 4 years ago, bio_man
Given the function g(x) = 6æ3 + 54x2 + 90t, find the first derivative, g'

Notice that g' (x) — 0 when x — — 1, that is, — 1) — 0.
Now, we want to know whether there is a local minimum or local maximum at
= — 1, so
we will use the second derivative test.
Find the second derivative, g' '

Evaluate g (
Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at x 1?

[Answer either up or down watch your spelling!!]

At — — 1 the graph of g(r) is concave

Based on the concavity of g(x) at x — 1, does this mean that there is a local minimum or
local maximum at [Answer either minimum or maximum watch your spelling! !]

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bio_manbio_man
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