2009120912460348_00001

2009120912460348_000 - [2 a f(x)=2x s 3x2-7x 12 4 3[2 c f(x)= x 5 x 3 2O q[4 9 Use the product rule to find the derivative and simplify f(x =(5x

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Math 1260 - Fall 2009 Test # 4 NAME [2] 2. At what value(s) ofx is 3 x - 5 discontinuous? .) ~ f (x) = x2 + Sx + 7 ~ 3. Given f(x)= 5 --X if x <0 if 0<x_<2 [3]a. if x>2 Graphd~x)" \ ,/ / / / [1 ] b. At what value of x is J(x) discontinuous? k_/ [ 1 ] c. State the limit from the left and from the right of the value you found in part b. Limit from the left = Z Limit from the right =
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~4. Find the average rate of change of y = -4x 2 + 3x between x = 2 and x = 4. [4] 5. Find the instantaneous rate of change.of f(x) = x ~ + 3x at x = 1 using lim f(a + h) - f(a) [4] 6. Given f(x)= 3x ~ -4. ~o Find f’(x) using the definition of the derivative. 4’(_x÷. is@ o
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[4] 7. GivenJ(x) as shown, a State all values of x for which the function is discontinuous: b. State all values ofx for which the derivative of J(x) does not exist: 8. Find the derivative of each of the following:
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Unformatted text preview: [2] a. f(x)=2x s+3x2-7x+12 4 3 [2] c. f(x)= x 5 x 3 _ 2O q [4] 9. Use the product rule to find the derivative, and simplify: f(x) = (5x + 2)(2x 2 - 3x + 1) [4] 10. 5x ~ - 2x Use the quotient rule to find the derivative and simplify: f(x) = .. 3-5x 11. Find the following derivatives: [2] a. g(t)=-5(4t 3 + 5) 8 [2] b. y = 7~/3x 2 - 5x + 2 [4] 12. Find the equation of the tangent line to the curve f(x) = -3x 2 + 2x + 4 at x = 2 / [2] 13. If the revenue from the sale of a product is given by R(x)=100 1- , find the marginal revenue function. ~~ ’-~ C)@ t-- ,~ Definition of the Derivative: lim f (x + h) - f (x) h Product Rule: f’ (x) = u(x) . v’ (x) + u’ (x) . v(x) Quotient Rule: f’ (x) = v(x) . u’ (x) - u(x) . ~’ (x) [~(x)] ~ TOTAL SCORE 50 100...
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This note was uploaded on 04/26/2010 for the course MATH 1260 taught by Professor Simon during the Fall '09 term at Toledo.

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2009120912460348_000 - [2 a f(x)=2x s 3x2-7x 12 4 3[2 c f(x)= x 5 x 3 2O q[4 9 Use the product rule to find the derivative and simplify f(x =(5x

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