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Q_and_A_Seminar_2__2_ - QUOTIENT rule to find the...

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Question and Answer Seminar #2 Use POWER RULE to find the derivative. 1) f(x) = 9x 7/5 - 5x 2 + 10 4 2) f(x) = 6 x - 5 x + 6 x 5 3) f(x) = x + 5 x 4) g(x) = 4x 5 + x 4 - 7x 2 + 3, find g'( - 1) F ind the equation of the tangent line to the curve when x has the given value. 5) f(x) = - 2 - x 2 ; x = 5 F ind all values of x (if any) where the tangent line to the graph of the function is horizontal. 6) y = x 3 - 12x + 2 S 7) If the price of a product is given by P(x) = 1024 x + 2300, where x represents the demand for the product, find the rate of change of price when the demand is 4. Use PRODUCT RULE to find the derivative. 8) f(x) = (3x - 4)(4x 3 - x 2 + 1) 9) f(x) = (2x - 3)( x + 5) Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. 10) f(x) = (5x 2 - 5x - 2)( - 4x + 1), x
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Unformatted text preview: QUOTIENT rule to find the derivative. 11) g(t) = t 2 t-11 12) y = x 2 + 8x + 3 x 1 Use the CHAIN rule to find the derivative. 13) f(x) = (x 3-8) 2/3 Find the equation of the tangent line to the graph of the given function at the given value of x. 14) f(x) = x 3 x 3 + 3; x = 1 WORD PROBLEMS 15) A Company wants to manufacture cylindrical sluminum cans with a volume of 1000cm 3 (1 liter). What should the radius and height of the can be to minimize the amouny of aluminum used? Ans: r = 5.419, h = 10.84 16) The total profit from selling x units of cookbooks is P(x) = (5x-3)(4x-2). Find the marginal average profit function. 2...
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