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Each of the following are composite functions of the form f(g(x)) . Identify the outer function f(x) , the inner function g(x) , and %
Each of the following are composite functions of the form f(g(x)) . Identify the outer function f(x) , the inner function g(x) , and % for each. a. y=\\3/1+4x2 1_ x): 1+4? 3 X b. y=23x2+27x110 .2 x): 23* 27x]10 x c. y=(33)(].)73 f(x)= 33x1 72-33 x 31: 2410;; 33x1 72 x 1. [0/2 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER Find the derivative of the following function without using the product rule, f(x)=7*(x3-11x2+4x+4) First, rewrite the function in an equivalent way so that the product rule need not be applied, 3x - 22x + 4 f ( x ) = 7x x3 - 11x- + 4x + 4 en 7 + x3 - 11x2 + 4x + 4 X Now, compute the derivative, f(x)= x3 - 11x2 + 4x + 4 7ten 7 +7* 3x2 -22x+ 4 X Submit Answer2. [2/4 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER Find the derivative of each of the following functions, cal + Op C. y=234* Fur X -: Syn Re dy= 234x dx wgy2 . 3 *wy 3 . 4* log ( 4) x Se VO O! Ve Tri d. I(z) =Anz+z2 Gre I'(z)= anz +2" log n . (n + 2z) X Submit
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