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Suppose the derivative of a function is given as df/dx = (4 + 3 x ) 5 Four students guess what the original function f is. Take the derivative of...

Suppose the derivative of a function is given as df/dx = (4 + 3x)5

  1. Four students guess what the original function f is. Take the derivative of each of the students guesses to check them.
    • Alice guesses that         f(x) = 15(4 + 3x)4.        Check:  
    • Bob guesses that f(x) = 15(4 + 3x)6.                 Check:  
    • Chris guesses that f(x) = 1/6(4 + 3x)6.                          Check
    • Dani guesses that f(x) = 1/18(4 + 3x)6.
DERIVATIVE STUDENT GUESSES Suppose the derivative of a function is given as df/dx = (4 + 3x)51. Four students guess what the original function f is. Take the derivative of eachof the students...
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