John Q.

asked • 10/29/20

Consider the following function...

Hello, I have already asked this question but the answer was incorrect and I am a bit stumped. I derived the first answer to the problem which is 22 but having diffuculting obtaining the second. I had -2 + or - (2sqrt(163))/18.


Please help.


Consider the function


f(x) = 3x^3 - x^2 +4x +1


a) Find the average rate of change of this function on the interval (-2,-1)_________ . 

By the Mean Value Theorem, we know there exists a c in the open interval (-2,-1) such that f'(c) is equal to this average rate of change.

b) Find the value of c in the interval which works_______


1 Expert Answer

By:

Sam Z. answered • 10/29/20

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With this formula f(x) = 3x^3 - x^2 +4x +1: can you be more spacific? Time; distance; weight???????

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John Q.

Unfortunately that is all the question states in my book.
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10/31/20

Sam Z.

I don't like how this will appear when I send it. I've got to spell it out. -1 top; -2 bottom; f(x) = 3x^3 - x^2 +4x +1; add/divide; (3x^4)/4-(x^3)/3+(4x^2)/2; the 1 cancels. Substitute the -1 and -2; subtract. Do this for the 3 values; add like terms.
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10/31/20

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