partial derivativespartial derivatives are used

Question

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