# Applied Calculus

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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 -

I agree with your first derivative.

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 -

y=x/(7x+10)

y'=1/( ) - 7x/( )^2
= (7x+10)x - 7x)/ (7x+10)^2

= (7x^2 +3x)/(7x+10)^2

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