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    Chain rule

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    What did I do wrong?
    1. Find f'(x) when f(x)= 5x(sinx + cosx)
    My answer: cos(4x^2)- sin(6x^2)/(5x^2)
    2. Find f'(x) when f(x)= ((x^3) + 4x + 4))^2
    My answer: 6x^2(x^3 + 4x + 4)
    3. Find f'(x) when f(x)= (3x + 8)^-3
    My answer: -6(3x + 8)
    4. Find f'(x) when f(x)= Sq root of (5x + 8)
    My answer: x/5x + 8
    5. Find f'(x) when f(x)= cos(3x + 2)
    My answer: ?
    6. Find f'(x) when f(x)= sin(cos(x^5))
    My answer: ?

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    https://brainmass.com/math/calculus-and-analysis/chain-rule-derivatives-hw-3176

    Solution Preview

    Please see attachment

    Problem:

    What did I do wrong?
    1. Find f'(x) when f(x)= 5x(sinx + cosx)
    My answer: cos(4x^2)- sin(6x^2)/(5x^2)
    2. Find f'(x) when f(x)= ((x^3) + 4x + 4))^2
    My answer: 6x^2(x^3 + 4x + 4)
    3. Find f'(x) when f(x)= (3x + 8)^-3
    My answer: -6(3x + 8)
    4. Find f'(x) when f(x)= Sq root of (5x + 8)
    My answer: x/5x + 8
    5. Find f'(x) when f(x)= cos(3x + 2)
    My answer: ?
    6. Find f'(x) when f(x)= sin(cos(x^5))
    My answer: ...

    Solution Summary

    This shows six examples of derivatives using chain rule

    $2.49

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