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Calculus Review Example Problems

# Calculus Review Example Problems - take the derivative with...

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UNC-Wilmington ECN 321 Department of Economics and Finance Dr. Chris Dumas Calculus Review Example Problems Find the following derivatives or partial derivatives. 1) Find dy/dx for y = 23*ln(5x) 2) Find dy/dx for y = 43x - 6x 6 - 5*(3x - 7) 3 (hint: use the "chain rule" on the (3x - 7) 3 part) 3) Find y/ x for y = 5 - 6x - 4z 2 (hint : notice that this is a partial derivative) 4) Careful !! Find x/ y for y = 5 - 6x - 4p 2 (hint: rearrange the equation to get x alone on the left-hand side of the equation, then
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Unformatted text preview: take the derivative with respect to y) 5) Find ∂ U/ ∂ p for 4 = -2U +7z 4q- 1/(2p) (hint: rearrange the equation for U alone on the left-hand side, then take the derivative) 6) Find ∂ U/ ∂ x for U = 5x 1/2 y 1/3 7) Find ∂ U/ ∂ y for U = 2x + 3y + xy 8) Find ∂ U/ ∂ y for U = (1+x)(1+y) (hint: remember the product rule) 1...
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