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richyw
 2 years ago
Best ResponseYou've already chosen the best response.1first 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.

johnnyalln
 2 years ago
Best ResponseYou've already chosen the best response.1got it. I am with you there so far!

richyw
 2 years ago
Best ResponseYou've already chosen the best response.1so 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

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

richyw
 2 years ago
Best ResponseYou've already chosen the best response.1solving for x will get you the answer.

johnnyalln
 2 years ago
Best ResponseYou've already chosen the best response.1Yes totally makes sense now! Thank you!
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