The Cost of producing x chairs is given by C(x) = .02x ^{2} + 40x + 400. Find C ^{1} (20)

Question

The Cost of producing x chairs is given by  C(x) = .02x ^{2} + 40x + 400. Find  C ^{1} (20)

anonymous · Answer

The Cost of producing x chairs is given by $$C(x) = .02x ^{2} + 40x + 400 Find C ^{1} (20)$$

anonymous · Answer

By $$C^{1}$$do you mean$$C \prime$$As in, the first derivative?

anonymous · Answer

would it be $$C ^{1} = 1/4x + 4 = C ^{1} (20) 4+5 = 9 ???$$

anonymous · Answer

$$Cprime1$$

anonymous · Answer

The second one

anonymous · Answer

So you are looking to find C prime? For the sake of moving this forward, that's what I will assume. 

In order to find the derivative of C(x), we would use the power rule. 

$$f(x)=x^{n}$$$$f \prime=nx^{n-1}$$

You can treat each term in the polynomial as a different function. So you can apply the rule to each term and add them together.

So apply the power rule to $$0.2x^{2}$$then apply the rule to $$40x$$and finally $$400$$
Then add your results together.