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Show how to do each problem 1 (1 point) Let f(x) = 3 -4,/T. Then the expression (2) (1 point) Let f (x) = 3x3.

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Show how to do each problem

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1 (1 point) Let f(x) = 3 -4,/T. Then the expression (2) (1 point) Let f (x) = 3x3. f(x + h) - f(x) a) Find f(x + h): | can be written in the form ( BX + CA) + (vi) b) Find f(x + h) - f(x): where A. B. and C are constants. (Note: It's possible for one or more of these constants to be 0) Find the constants. A = C) Find /(x+h)-/() . B = d) Find S' (x): 6x Use your answer from above to find lim /(3 + h) - [(x) 3) ( going Let / and g be functions that satisfy /'(2) = $ and g'(2) =9. Find A'(2) for each function if given beber im /(x + 4) - /(x) "AND = 12/10). Finally, find each of the following: f()= /()- ( M(x) = 10r(x) - 5/(x) 4) (1 point) Differentiate the following function: f(x) = e" + x ( Kx) = 1/(x) +9:(x) - 12 f' (x) = (F) Mx) = -7g(x) - 13/(x) + 12x. (1 point) The force F on an object is the product of the mass m and the Time f, hence so the does the force. That is, M time : = 8 seconds, the mass of an object is 57 grams and changing at a rate of -5!, At this sam oration is 1 1 9 and changing at a rate of -14. By the product rule, the force on the object is changing at the rain of Please Include units in your answer tolick the link for helpj- To enter compound units use multiplication, division, and exponent symbols, ap. use ITb for foot- pounds or we's*2 for motors per second per second

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