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richywBest ResponseYou've already chosen the best response.1
first of all this is a quadratic function, so you know that there will be only one max/minimum. Since the \(x^2\) term has a negative coeffeicient you know that it's going to be opening downwards and therefore have one maximum and no minimum.
 one year ago

johnnyallnBest ResponseYou've already chosen the best response.1
got it. I am with you there so far!
 one year ago

richywBest ResponseYou've already chosen the best response.1
so now that you know this you can simply differentiate the equation, which gives you the slope of the line tangent to the parabola at any point. the slope will be zero at this maximum
 one year ago

richywBest ResponseYou've already chosen the best response.1
so take \[\frac{d}{dx}\left(x^2+240x14400\right)=0\]
 one year ago

richywBest ResponseYou've already chosen the best response.1
solving for x will get you the answer.
 one year ago

johnnyallnBest ResponseYou've already chosen the best response.1
Yes totally makes sense now! Thank you!
 one year ago
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