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marigirl

  • one year ago

Differentiating : Differentiate A=l*w with respect to w

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  1. marigirl
    • one year ago
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    how does it end up as \[A=w*l\] \[\frac{ dA }{ dw }=w*\frac{ dl }{ dw }+l\] Where did that +l come from?

  2. anonymous
    • one year ago
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    by the product rule

  3. anonymous
    • one year ago
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    dA/dw = w* dL /dw + d(w)/dw * L dA/dw = w* dL /dw + 1 * L

  4. welshfella
    • one year ago
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    l is a function of w

  5. marigirl
    • one year ago
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    thanks!

  6. anonymous
    • one year ago
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    you have to assume l is a function of w for that to make sense. otherwise you would end with dA/dw = L * 1, since L is a constant with respect to w

  7. welshfella
    • one year ago
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    yes

  8. marigirl
    • one year ago
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    can you please also explain what happens here \[4r^2=l^2+w^2\] the model answers show that 4r^2 differentiates to zero

  9. marigirl
    • one year ago
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    again i am differentiating with respect to w

  10. marigirl
    • one year ago
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    @jayzdd

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