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Thread: Derivatives: check my answers please

  1. #1
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    Derivatives: check my answers please

    Find the derivatives

    #1) $\displaystyle y=(a^2-5a)^{2010}$


    My Answer: $\displaystyle 2010(a^2-5a)^{2009}(2a-5)$


    #2) $\displaystyle g(x)=cos(PiX^2)$


    My Answer: $\displaystyle -2PiX Sin(PiX^2)$


    #3) $\displaystyle {z^2-z} / {3z+2}$


    My Answer: $\displaystyle (2z-1) - (3z^2-3z) / 3z+2$
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  2. #2
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    Quote Originally Posted by Jay23456 View Post
    Find the derivatives

    #1) $\displaystyle y=(a^2-5a)^{2010}$


    My Answer: $\displaystyle 2010(a^2-5a)^{2009}(2a-5)$


    #2) $\displaystyle g(x)=cos(PiX^2)$


    My Answer: $\displaystyle -2PiX Sin(PiX^2)$


    #3) $\displaystyle {z^2-z} / {3z+2}$


    My Answer: $\displaystyle (2z-1) - (3z^2-3z) / 3z+2$
    1 and 2 are correct.
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  3. #3
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    Is 3 not simplified or or where did i go wrong?
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  4. #4
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    $\displaystyle \frac{dy}{dz}\bigg[\frac{z^2-z}{3z+2}\bigg]=\frac{uv'-u'v}{v^2}=\frac{2z-1}{3z+2}-\frac{3(z^2-z)}{(3z+2)^2}$
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