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Mathematics 25 Online
OpenStudy (anonymous):

need help on the attachment

OpenStudy (anonymous):

OpenStudy (anonymous):

i would say all or true. if you have a graphing calculator, just pop that in and check it.

OpenStudy (anonymous):

I just input that answer in and they said it wrong

OpenStudy (anonymous):

well the derivative doesn't exist at x = 0 because it would equal 2/0. so just c then maybe?

OpenStudy (anonymous):

Trogdor, are you guessing?

OpenStudy (anonymous):

fine then. c. the answer is only c.

OpenStudy (anonymous):

Doubt it, since C is false.

OpenStudy (anonymous):

then its all false. is it concave up (-infinity, infinity)?

OpenStudy (anonymous):

The second derivative is (-2/9)x ^(-4/3)...it's concave down...

OpenStudy (anonymous):

Since the second derivative is negative...

OpenStudy (anonymous):

OMG! okay. thanks man. i made a horrid mistake. its all so clear now. thank you sir Blue.

OpenStudy (anonymous):

so, all of them are false?

OpenStudy (anonymous):

indeed.

OpenStudy (anonymous):

I got that wrong to, so that not the right answer

OpenStudy (anonymous):

its just b then. cuz there's no slope at 0. its concave down.

OpenStudy (anonymous):

sorry about all this.

OpenStudy (anonymous):

are you really sure?

OpenStudy (anonymous):

yes. tell you're teacher its my fault.

OpenStudy (anonymous):

Tal, you should try to understand this...rather than guessing.

OpenStudy (anonymous):

GoBlue is he right

OpenStudy (anonymous):

You want me to just tell you the answer? Try working it out...find the derivative, see if it's differentiable everywhere. Then test for min/max, and then find second derivative to check concavity.

OpenStudy (anonymous):

A is false because the first derivative is (2/3)(x^(-1/3)): so at x=0, the slope would be 2/0, which is a no no C is false because the second derivative is negative so its concave down. B is true because it comes to 1 at x=0 from both sides.

OpenStudy (anonymous):

Thanks for explaining the reason for the answers, and it was right

OpenStudy (anonymous):

sorry for the inconvenience. its been a little while since i did these.

OpenStudy (anonymous):

The real reason for B is because the first derivative changes sign from negative to positive at 0, hence local minimum. Otherwise he's right. Well done.

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