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Math Help - Easy Derivatives - Can You Check...?

  1. #1
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    Easy Derivatives - Can You Check...?

    1. Use the Power Rule and the Sum and Difference rules to find the derivative of:

    y = (x^2 - 2sqrt(x))/(sqrt(x))

    My answer: ((3/2) third(sqrt(x^2)) - (1/2))/x

    I used the quotient rule for this because I didn't know how to use the Power Rule and the Sum and Difference rules to find the derivative of it.


    2. Use the quotient rule to find the derivative.

    y= (thirdsqrt(x^2))/(2sqrt(x)) , Get f'(-1)

    My answer: DNE

    Derivative: ((1/3)x^(1/6))/(4x)

    Note: thirdsqrt is the little three thing with the sqaure root. Eg. thirdsqrt(27) = 3
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  2. #2
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    Quote Originally Posted by AlphaRock View Post
    1. Use the Power Rule and the Sum and Difference rules to find the derivative of:

    y = (x^2 - 2sqrt(x))/(sqrt(x))

    My answer: ((3/2) third(sqrt(x^2)) - (1/2))/x

    I used the quotient rule for this because I didn't know how to use the Power Rule and the Sum and Difference rules to find the derivative of it.


    2. Use the quotient rule to find the derivative.

    y= (thirdsqrt(x^2))/(2sqrt(x)) , Get f'(-1)

    My answer: DNE

    Derivative: ((1/3)x^(1/6))/(4x)

    Note: thirdsqrt is the little three thing with the sqaure root. Eg. thirdsqrt(27) = 3
    1. To use the power rule in the first problem try moving the x^(1/2) to the numerator by changing it to x^(-1/2). And I also believe that answer is wrong as well or at least i get something different and so does my calculator.

    2. I get the same thing for the second one and f'(-1) is a complex number
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