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Mathematics 15 Online
OpenStudy (lukecrayonz):

@ranga really need your help atm :)

OpenStudy (lukecrayonz):

http://gyazo.com/de1864d350c7d4e57932cb9325dedb33 This is on my test and I literally NEVER learned this, and i'm supposed to finish by 12.

OpenStudy (ranga):

I will be back as soon as I can. In the middle of answering three other people's questions. ....

OpenStudy (lukecrayonz):

Okay:) Take your time.

OpenStudy (lukecrayonz):

So the deriv is -12/x^5

OpenStudy (ranga):

\[\Large \frac{ \Delta y }{ \Delta x } = \frac{ f(x + \Delta x) - f(x) }{ \Delta x }\]

OpenStudy (ranga):

f(x) = 3x^-4 x = -1, delta_x = 0.1, x + delta_x = -0.9 delta_y = f(-0.9) - f(-1)

OpenStudy (lukecrayonz):

So for the top I have -1.5724

OpenStudy (ranga):

delta_y = 3/(-0.9)^4 - 3/(1)^4 = ?

OpenStudy (lukecrayonz):

-1.57

OpenStudy (ranga):

That is your delta_y (the answer to the first question. They want the answer rounded to 4 decimal places. So it should be -1.5725

OpenStudy (ranga):

For the second part, find f'(x) and evaluate it at x = -1 And multiply it by 0.1 (that is, delta_x) and enter the answer to two decimal places.

OpenStudy (lukecrayonz):

So -12/-1^5*0.1

OpenStudy (ranga):

yes.

OpenStudy (lukecrayonz):

Okay new question! http://gyazo.com/0fb1ef8d2445805b2c8a3e077b98d24b

OpenStudy (ranga):

Wait, for the first part did you get a negative value? It should be positive.

OpenStudy (ranga):

I am getting +1.5725 for the first and 1.2 for the second.

OpenStudy (lukecrayonz):

I got 1.5 haha

OpenStudy (ranga):

They want 4 decimal places for the first and two decimal places for the second. So I would put: 1.5725 for the first and 1.20 for the second.

OpenStudy (lukecrayonz):

Okay:)

OpenStudy (ranga):

Yes for the next question 14 is correct for part 1. For the second part, find the derivative and evaluate it at x = 90.

OpenStudy (lukecrayonz):

1260?

OpenStudy (ranga):

R(x) = 14x, so R'(x) = 14. R'(x) does not depend on x and it is the same 14 at all points of x. So R'(x) when x = 90 is 14.

OpenStudy (ranga):

The 1260 you got was for R(x) at x = 90. But that is not what they are asking. They want the derivative R'(x) at x = 90.

OpenStudy (lukecrayonz):

Can you do me a huge favor and not explain and just answer these next few?

OpenStudy (ranga):

I will do one.

OpenStudy (ranga):

Will you be posting? I have to leave soon.

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