I have hard time figure out this one, could anyone able to solve this?
Given if E(a,b,c,d) = ac^2 + cb^2 + 5d + 5a
Partially differentiate to find :
∂E/ ∂b and ∂E/ ∂c
The fundamental idea behind partial differentiation is very simple. We consider how the dependent variable changes when exactly one of the independent variables changes and all the others stay exactly the same. It is the same idea as in the natural sciences when we minimize to the extent possible all variation in the experimental set-up but one so that we can isolate the effect of that single change. It is also the same idea as in economics with its assumption of ceteris paribus, meaning everything else remaining the same. Because we are interested in what happens when a specific variable, say b, changes and every other variable stays the same, we can treat the function as though a, c, and d were constants and differentiate exactly the same way that we learned for functions with one independent variable.I have hard time figure out this one, could anyone able to solve this?
Given if E(a,b,c,d) = ac^2 + cb^2 + 5d + 5a
Partially differentiate to find :
∂E/ ∂b and ∂E/ ∂c
We give help, not answers. Show your work, and we will confirm it or point out where you went wrong.Given: E(a,b,c,d) = ac^2 + cb^2 + 5d + 5a
Partially differentiate to find
\(\displaystyle \frac{\partial E}{\partial b}\) and \(\displaystyle \frac{\partial E}{\partial c}\)
answer?
Thanks.