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For each of the following mathematical functions (or equations): (i) Take the first derivative dy/dx, (ii) Set dy/dx...

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Basic Math

For each of the following mathematical functions (orequations):

(i) Take the first derivative dy/dx,

(ii) Set dy/dx = 0, then solve for x .

(iii) Take the second derivative d(dy/dx)/dx. Is the secondderivative positive or negative at x*? Is this a relative minimumpoint or a relative maximum point? Or neither?

  1. 1) Y= 1500 X – (41,000,000 + 500 X + .0005 X2)

  2. 2) Y= 12,100,000 + 800X + .004 X2 X

  3. 3) Y=(1800-.006X)X

  4. 4) Y=1800X-.006X -(12,100,000+800X+.004X )

  5. 5) Y= (4) (5000) + 50 (5000/X) + (.5) (X/2)

  6. 6) y=x3 –12x2 +36X+8

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