The question on my homework assignment is listed as follows:
Given E(a,b,c,d)=ac^2+cb^2+5d+5a
Partially differentiate to find:
dE/db and dE/dc
Thanks in advance for all of the help. I really appreciate it.
Given E(a,b,c,d)=ac^2+cb^2+5d+5a Partially differentiate to find: dE/db and dE/dc?
partial differentials are actually pretty easy once you understand them.
Normally you differentiate "df(x)/dx" That just means that you perform the differential by the variable "x."
dE/db means you perform the differential by "b." Assuming all of the variables are independent:
dE/db = 2cb
dE/dc = 2ac + b^2
Reply:dE/dB:2cb
dE/dc:2ac+b^2
When you partially diff. a function by some variable(say, x), then you treat the rest of the parameters excluding the variable(x, in this case) as constant.
For the above equation formula used is dx^n/dx=nx^(n-1)
Reply:dE/db -%26gt; diff. E wrt b keeping a,c,d const.
= 0 + 2cb+ 0+ 0 =2cb
dE/dc -%26gt; 2ac+b^2 +0+0= 2ac+b^2
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