I NEED THE STEP BY STEP SOLUTION TO THE FOLLOWING PROBLEM TO REACH THE ANSWERS T

Question

I NEED THE STEP BY STEP SOLUTION TO THE FOLLOWING PROBLEM TO REACH THE ANSWERS THAT WERE PROVIDED IN THE TEXTBOOK. I RECENTLY ASKED THIS QUESTION TWICE AND THE ANSWER PROVIDED WAS INCORRECT BOTH TIMES (BOTH RESPONSES HAD DIFFERENT ANSWERS). THE ANSWERS TO PART "A" AND "B" ARE AS FOLLOWED (PROVIDED IN TEXTBOOK ANSWER KEY):

ANSWER TO A:

ANSWER TO B:

You are given that f(x) and g(x) are differentiable functions and that f(2)=3, f'(2)=-11, and g'(2)=6 for part "A" and "B" of the following problem.

a.

b.

Explanation / Answer

we are considering from your data and the question both numerator and denominator has f(x) ; if there is g(x) in denomintor then replace f(x) with g(x) and you have not submitted the value of g(2);

a) h(x) = ( f(x) + 3x ) / ( f(x) - 3x) ;

h' (x) = [ ( f(x) - 3x ) ( f' (x) + 3 ) - ( f(x) + 3x ) ( f' (x) - 3 ) ] / ( f(x) - 3x )2 ;

h' ( 2 ) = ( 24 - (-126 ) ) / ( -3 )2  = 150 / 9 = 50 /3 ;

b) h'(x) = (f(x) - 11x +1)16 - ( 16x +1 ) ( f'(x) - 11 ) / ( f(x) - 11x + 1 )2

h'(x) =( -288 + 726 ) / 324 = 438 /324 = 73/54 = 1.35

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