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Math Help - Hello Community. I could use some help on these calculus problems (Derivitiv). Thanks

  1. #1
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    Hello Community. I could use some help on these calculus problems (Derivitiv). Thanks

    1.differentiate the function using the quotient rule.
    fx=cos(5x)/x^4
    2.fx=(x+3)/(x-2). Derivitive?
    3.
    Derivitive?
    4.
    derivitive?
    5.

    derivitive

    6.Find the second derivative of the function.

    f(x) = 2x + 25x−2

    7.Find f '''(x).
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  2. #2
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    it seems as though you're stuck with the quotient rule, how about you try one and I'll see where you're having problems and try to help you
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  3. #3
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    ok thank you. I have tried all of them and got wrong answers. I will try number 2.
    fx= (x+3)/(x+2)
    =x+2-x-3/x^2+4x+4
    =-1/x^2+4x+4??
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  4. #4
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    Quote Originally Posted by giants1080 View Post
    ok thank you. I have tried all of them and got wrong answers. I will try number 2.
    fx= (x+3)/(x+2)
    =x+2-x-3/x^2+4x+4
    =-1/x^2+4x+4??

    So i think you want the deriv of f(x)

    f(x)=\frac{x+3}{x+2}

    f'(x)=\frac{(x+2)\cdot 1-(x+3)\cdot 1}{(x+2)^2}

    and simplify from there

    Notice that the first '1' is the deriv of the numerator and the second '1' is the deriv of the denominator
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