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Given the function g ( x ) = 6 x 3 + 54 x 2 + 90 x g(x)=6x3+54x2+90x , find the first derivative,
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Given the function g ( x ) = 6 x 3 + 54 x 2 + 90 x g(x)=6x3+54x2+90x , find the first derivative,
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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Given the function g ( x ) = 6 x 3 + 54 x 2 + 90 x g(x)=6x3+54x2+90x , find the first derivative,
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When concave up, that's a minimum. This about it, it's concaving, upwards, like this, so that's when it's a mimumum
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