Hey guys, for an economics class actually, how would you derivate this ?
TC = 4(30 - Q2)2 + 5Q22 - (30 - Q2)Q2
Thanks in advance!
derivative w/respect to what variable?TC = 4(30 - Q2)2 + 5Q22 - (30 - Q2)Q2
What is TC? is that a single variable or a product? what is Q?
are there exponents in your expression? use the caret symbol like so ... x^2 is x squared ... (x^2 + 2)^2 is the quantity (x^2 + 2) squared.
what does 5Q22 mean?
do you know the power & chain rules for derivatives?
Let Total Cost $\displaystyle = C = 4(30 - Q)^2 + 5Q^2 - (30 - Q)Q $.
$\displaystyle \frac{dC}{dQ} = 4\cdot 2(30-Q)(-1) + 5\cdot 2Q - [(30-Q)(1) + Q(-1)] = 20Q -270$
Note: Give some time to load properly, run Tex and compile the equation.