Differentiate 80*[sqrt (500^2+x^2)] + 50*(800-x).
I've started by
80*[sqrt (500^2+x^2)] + 50*(800-x)
=80* (250000 + x^2)^(1/2) + 50*(800-x)
Now that I've set the question up to differentiate, I don't know what the next step would be if I was to use the product rule
Would it look something like this
Using the Chain Rule for:80* (250000 + x^2)^(1/2)
40(250000+x^2)^(-1/2) * 2x
Again I am not sure of my workings if its correct on this one
Please. Can someone walk me through this problem step by step so I understand how you can derive this function??