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anonymous

  • 5 years ago

differentiate the given function and simplify. 1-5x^2/(3+2x)^1/3

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  1. anonymous
    • 5 years ago
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    use quotient rule and chain rule

  2. anonymous
    • 5 years ago
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    i have used them i get to (3+2x)^1/3(-10x)-(1-5x^2)[2/3(3+2x)]^-2/3 all over (3+2x)^7/3 I do not feel like this is the correct answer at this point. should i multiply 3*-10x then 2x*-10x and so on

  3. anonymous
    • 5 years ago
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    I need more help

  4. anonymous
    • 5 years ago
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    sorry for the late response \[d/dx[(1-5x^2)/(3+2x)^{1/3}]=\] \[[(-10x^2)(3+2x)^{1/3}-(1-5x^2)(2/3)(3+2x)^{-2/3}]/(3+2x)^{2/3}\]after simlifying \[[3(3+2x)(-10x)-(2-10x^2)]/[3(3+2x)^{4/3}]\] after simplifying again you get \[(-50x^2-90x-2)/(3(3+2x)^{4/3})\] simplify one more time \[-2(25x^2+45x+1)/3(3+2x)^{4/3}\] This should be your final answer

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