marigirl
  • marigirl
Differentiating : Differentiate A=l*w with respect to w
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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marigirl
  • marigirl
how does it end up as \[A=w*l\] \[\frac{ dA }{ dw }=w*\frac{ dl }{ dw }+l\] Where did that +l come from?
anonymous
  • anonymous
by the product rule
anonymous
  • anonymous
dA/dw = w* dL /dw + d(w)/dw * L dA/dw = w* dL /dw + 1 * L

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welshfella
  • welshfella
l is a function of w
marigirl
  • marigirl
thanks!
anonymous
  • anonymous
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
welshfella
  • welshfella
yes
marigirl
  • marigirl
can you please also explain what happens here \[4r^2=l^2+w^2\] the model answers show that 4r^2 differentiates to zero
marigirl
  • marigirl
again i am differentiating with respect to w
marigirl
  • marigirl
@jayzdd

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