SOLUTION: f(x)=2x3 − 4x2 +3x − 5 for which x values is the graph concave down?

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Question 1057331: f(x)=2x3 − 4x2 +3x − 5
for which x values is the graph concave down?

Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
f(x) = 2x^3 - 4x^2 +3x - 5
for which x values is the graph concave down?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


The first derivative of f(x) is f'(x) = .

The second derivative of f(x) is f''(x) = 12x-8.

The graph is concave down  <----->   f''(x) < 0,   i.e.

12x - 8 < 0 <---> x < = .



Plot y =


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