Optimisation :Use of 2nd derivative in Economics; Finding Min AC and MC from a given Cost function

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In third step AC = Q² -24Q +600 and not Q²-24Q +Q ( it happened by mistake)
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In third step AC = Q² -24Q +600 and not Q²-24Q +Q ( it happened by mistake)

ECONMATHS
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While making TC to MC why didn't you take derivative of 600q which is 600?

Guddaingeneral
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Thanks. Very inspiring and helpful video

ghmohd
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Sir please can you solve.
The total cost function is given by
TC= 100-2q+ 0.5 q²
Show that the slope of the AC curve is negative, when the output is less than 10.

queenofbangtan