If the units for x are feet and the units for a(x) are pounds per foot then units for da/dx are pounds per square feet
Given :
Units for x are feet and units for a(x) are pounds per foot
we need to find the units for da/dx
'a' and change of 'a' that is da have same units
So, units for da is pounds per foot
x and change in x that is dx have same units
so, units for dx are feet
Lets find da/dx
[tex]\frac{da}{dx} =\frac{pounds \; per \; feet}{feet} =\frac{pounds}{feet^2} =\frac{lb}{ft^2}[/tex]
So, units for da/dx are pounds per square feet
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