SOLUTION: Find the first derivative of the following functions and evaluate at the given point. Show supporting work and underline your answer. 1. Quotient Rule - Round your answer to two

Algebra ->  Linear-equations -> SOLUTION: Find the first derivative of the following functions and evaluate at the given point. Show supporting work and underline your answer. 1. Quotient Rule - Round your answer to two      Log On


   

Question 960406: Find the first derivative of the following functions and evaluate at the given point. Show supporting work and underline your answer.
1. Quotient Rule - Round your answer to two decimal places.
g(x)= 3x-4/6x+5 and evaluate at x=5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Quotient Rule:
g=u/v
g'=(vu'-uv')/v^2
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.
.
u=3x-4
du%2Fdx=3
v=6x%2B5
dv%2Fdx=6
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.
.
dg%2Fdx=%28%286x%2B5%293-%283x-4%296%29%2F%286x%2B5%29%5E2
dg%2Fdx=%2818x%2B15-18x%2B24%29%2F%286x%2B5%29%5E2
highlight%28dg%2Fdx=%2839%29%2F%286x%2B5%29%5E2%29
When x=5
dg%2Fdx=%2839%29%2F%2830%2B5%29%5E2
dg%2Fdx=39%2F35%5E2
highlight%28dg%2Fdx=39%2F1225%29