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Math Help - Stuck on factorisation after differenting

  1. #1
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    Stuck on factorisation after differenting

    I have a very long question but I am stuck on factorizing the value of the differentiation I have found to find the x value.

    Here is the differentiation: 2πx^3 - 2πx - 4x +80.

    Do you think it would be a good idea to multiply the π with 2 to remove it. The result will be a decimal value but that will be had to work with as well. This will affect the x values right.

    Thanks.
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  2. #2
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    Re: Stuck on factorisation after differenting

    Quote Originally Posted by Googl View Post
    I have a very long question but I am stuck on factorizing the value of the differentiation I have found to find the x value.

    Here is the differentiation: 2πx^3 - 2πx - 2x +80.

    Do you think it would be a good idea to multiply the π with 2 to remove it. The result will be a decimal value but that will be had to work with as well. This will affect the x values right.

    Thanks.
    about all you can do is factor out 2 from the posted expression.

    what are you trying to find? note that posting the original problem may give others some insight toward a solution.
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  3. #3
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    Re: Stuck on factorisation after differenting

    Quote Originally Posted by skeeter View Post
    about all you can do is factor out 2 from the posted expression.

    what are you trying to find? note that posting the original problem may give others some insight toward a solution.
    ...which will become: πx^3 - πx - 2x + 40

    The question is very long, I don't think I would be able to type it here. But I am given the perimeter of a shape and I am supposed to find the area in terms of x, then find the value of x using calculus. You get the idea. I have used the given perimeter value to exclude the y value (by writing it in terms of x). Now I have the area in terms of x which I have differentiated to to give the result above.

    Do you think it would be okay to use trail and improvement?
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  4. #4
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    Re: Stuck on factorisation after differenting

    how did you end up with a cubic expression for area?

    let me take a wild guess ... does your original problem involve maximizing the area of a "Norman Window" given its perimeter?
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  5. #5
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    Re: Stuck on factorisation after differenting

    Quote Originally Posted by skeeter View Post
    how did you end up with a cubic expression for area?

    let me take a wild guess ... does your original problem involve maximizing the area of a "Norman Window" given its perimeter?
    No it does not, it is the combination of different shapes from a problem the finding the perimeter and areas of the shapes. The rest you know.

    Yes the problem was the cubic expression, but I have solved that now and managed to complete the rest of the question.

    Thanks for the help.
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