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Mathematics 13 Online
OpenStudy (anonymous):

Please Help! Let f(x)=(13x^3−3x+8)((3x^−2)+(2x^−3)). Evaluate f′(x) at the following points: f'(-6)

OpenStudy (solomonzelman):

What is the derivative of f?

OpenStudy (solomonzelman):

(I would use the product rule, rather than expanding, but that is up to you)

OpenStudy (solomonzelman):

Tell me: \(1)\) The derivative of: \(\color{black}{ \displaystyle 13x^3−3x+8 }\) is? \(2)\) The derivative of: \(\color{black}{ \displaystyle 3x^{-2}+2x^{-3} }\) is?

OpenStudy (anonymous):

I did the product rule and the plugged in the -6 and my answer was 39.6049

OpenStudy (solomonzelman):

can you tell me what you got for the derivative of the function?

OpenStudy (anonymous):

((39x^2)-3)((3x^-2)+(2x^-3))+((13x^3)-3x+8)((-6x^-3)+(-6x^-4))

OpenStudy (solomonzelman):

yes, that is correct

OpenStudy (solomonzelman):

Now we plug in x=-6... we can use wolfram for this:)

OpenStudy (anonymous):

okay so is my answer the same?

OpenStudy (anonymous):

because whenever I type the answer into the program I am using for my homework its says it's incorrect

OpenStudy (solomonzelman):

39.3796

OpenStudy (solomonzelman):

is what wolfram gives

OpenStudy (anonymous):

OpenStudy (solomonzelman):

I honestly have no clue about what happened. We got the correct derivative and I used the calculator for f'(-6)....

OpenStudy (anonymous):

I know .-. I've attempted this problem 15 times

OpenStudy (solomonzelman):

Yes, that is pretty strange. to me at least.

OpenStudy (triciaal):

|dw:1445142674612:dw|

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