(See Steps) Find the derivative of the following functions: Y=45X-0.5X^2 Y=X^3-8X^2+57X+2 TR=100Q-10Q^2 (Equation 2-1) TC=182+56Q (Equation 2-2) Y=X^3-2X^2 Y=8X^4-20X^3
Question: Find the derivative of the following functions:
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\(Y=45X-0.5{{X}^{2}}\)
\(Y={{X}^{3}}-8{{X}^{2}}+57X+2\)
\(TR=100Q-10{{Q}^{2}}\) (Equation 2-1)
\(TC=182+56Q\) (Equation 2-2) - \(Y={{X}^{3}}-2{{X}^{2}}\)
\(Y=8{{X}^{4}}-20{{X}^{3}}\)
\(Y=4{{X}^{3}}\left( 2X-5 \right)\)
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