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Partial Derivatives
Partial derivatives are used while we want to investigate the effect of one independent variable on dependent variable. For illustration, the revenues of a farmer may depend on two variables that is; the amount of fertilizer applied and as well the type of the natural soil.
Assume ∏= 30x2y + y2 + 50x + 60y
Whereas ∏ = annual revenue in £ '000'
x = type of soil
y = amount of fertilizer applied
It is not the first time that we've looked this topic. We also considered linear independence and linear dependence back while we were looking at second order differential equation
1 1 1 1 1 2 1 2 ? and 40/2=? 2/40=?
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111111-11111=
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x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2
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