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anonymous

  • one year ago

how to find the derivative of (4x+1)(1-x)^3

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  1. freckles
    • one year ago
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    Product rule would need to be applied.

  2. freckles
    • one year ago
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    Then Chain rule and some other rules.

  3. freckles
    • one year ago
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    but yeah the first one to begin with is product

  4. freckles
    • one year ago
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    \[\frac{d}{dx}(4x+1)(1-x)^3 \\ = (1-x)^3 \frac{d}{dx}(4x+1)+ (4x+1) \frac{d}{dx}(1-x)^3\] see if you can continue

  5. anonymous
    • one year ago
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    \[(4 x+1) (1-x)^3=-4 x^4+11 x^3-9 x^2+x+1 \]Calculate the derivative term by term.\[-16 x^3+33 x^2-18 x+1 \]

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