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Mathematics 17 Online
OpenStudy (anonymous):

The graph of y = f ′(x), the derivative of f(x), is shown below. List the intervals where the graph of f is concave down

OpenStudy (anonymous):

OpenStudy (anonymous):

Answer choices (–4, –2) U (2, 4) (–2, 2) (–4, 0) (0, 4)

OpenStudy (jack1):

concave down: slope = decreasing

OpenStudy (anonymous):

yep and then increasing

OpenStudy (anonymous):

|dw:1439304522328:dw|

OpenStudy (jack1):

|dw:1439304402447:dw|

OpenStudy (jack1):

|dw:1439304436977:dw|

OpenStudy (jack1):

OpenStudy (anonymous):

yep i know i just cant picture the concavity

OpenStudy (jack1):

sor wherever the slope is decreasing = concave down

OpenStudy (anonymous):

!!!

OpenStudy (anonymous):

you should have started with that :P

OpenStudy (anonymous):

(–4, –2) U (2, 4)

OpenStudy (jack1):

understanding comes from bringing the whole picture into clarity... if i started with that u would have the answer but not the understanding ;P

OpenStudy (anonymous):

thanks for the help!

OpenStudy (jack1):

np, gud luck ;)

OpenStudy (triciaal):

when dy/dx = 0 gives the x values for the max and min plug in y to get the value "short cut" use the 2nd derivative if positive then you have a min if negative you have a max max concave down and min concave up

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