SOLUTION: Use the table to find the following derivatives. (table link: https://drive.google.com/file/d/1KzxzujP-ibP2jFHxYjOC-OCdl9z81fLj/view?usp=sharing) A) H'(4) where H(x)=xf(x) B) H'

Algebra ->  Equations -> SOLUTION: Use the table to find the following derivatives. (table link: https://drive.google.com/file/d/1KzxzujP-ibP2jFHxYjOC-OCdl9z81fLj/view?usp=sharing) A) H'(4) where H(x)=xf(x) B) H'      Log On


   

Question 1147477: Use the table to find the following derivatives.
(table link: https://drive.google.com/file/d/1KzxzujP-ibP2jFHxYjOC-OCdl9z81fLj/view?usp=sharing)
A) H'(4) where H(x)=xf(x)
B) H'(4) where H(x)=g(x)/f(x)
Answer by greenestamps(13198) About Me  (Show Source):
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A) H(x) = x*f(x)
H'(x) = f(x)+x*f'(x) (product rule)
H'(4) = f(4)+4*f'(4)

Evaluate using the table.

B) H(x) = g(x)/f(x)
H'(x) = (f(x)*g'(x)-f'(x)*g(x))/g(x)^2 (quotient rule)
As with part A, substitute x=4 and evaluate using the table.