What is the derivative of the function f(x)=\frac{3x-5}{5x+2}?

Layla-Rose Ellison 2022-02-28 Answered
What is the derivative of the function
f(x)=3x55x+2?
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Expert Answer

Jenson Mcculloch
Answered 2022-03-01 Author has 9 answers
Step 1
The quotient rule states that
if y=f(x)g(x), then dydx=f(x)g(x)g(x)f(x)(g(x))2
Now if we apply this to the given function
f(x)=3(5x+2)5(3x5)(5x+2)2
f(x)=15x+615x+25(5x+2)2
f(x)=31(5x+2)2
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twaza7fl
Answered 2022-03-02 Author has 5 answers
Step 1
Quotient Rule: (uv)=vuuvv2
(uv)=(5x+2)(3)(3x5)(5)(5x+2)2
=15x+6(15x25)(5x+2)2
=31(5x+2)2
If you are enrolled in a calculus course, you really need to review these elementary differentiation rules.
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