Posted by Jacob on Wednesday, February 20, 2013 at 4:52pm.
Find the first and second derivative of the function:
x/(7x+10)
Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first derivative to be 10/(7x+10)^2

Applied Calculus  JJ, Wednesday, February 20, 2013 at 4:59pm
I agree with your first derivative.
Now, start with 10/(7x+10)^2 and take the derivative again.
Denom times deriv of numerator = 0
since deriv of 10 = 0
minus the numer time the deriv of the denomin.
 10(2(7x+10)7) this is the chain rule
You need to simplify this expression
all over the denominator squared which makes the denominator to the 4th power.

Applied Calculus  bobpursley, Wednesday, February 20, 2013 at 5:01pm
y=x/(7x+10)
y'=1/( )  7x/( )^2
= (7x+10)x  7x)/ (7x+10)^2
and that is not equal to your answer.
= (7x^2 +3x)/(7x+10)^2
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