Posted by **Mat** on Monday, May 20, 2013 at 10:14pm.

Find the derivative of the following function f(x)=(x-3/2x+3)^2

- Calculus -
**Steve**, Tuesday, May 21, 2013 at 11:42am
Assuming the usual carelessness with parentheses, I gather you mean

f(x) = ((x-3)/(2x+3))^2

If f = u^2, f' = 2u u'

So, f' = 2(x-3)/(2x+3) * ((x-3)/(2x+3))'

= 2(x-3)/(2x+3) * [(2x+3)-2(x-3)/(2x+3)^2]

= 2(x-3)/(2x+3)*(9/(2x+3)^2)

= 18(x-3)/(2x+3)^3

## Answer this Question

## Related Questions

- calculus - You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the...
- calculus - Find the derivative of the function using the definition of ...
- calculus - 1. Which of the following expressions is the definition of the ...
- Calculus - Use a symbolic differentiation utility to find the derivative of the ...
- Calculus - Find the derivative of the following function using the appropriate ...
- calculus - At the indicated point for the function, find the following. A ...
- Calculus (Urgent!!) - Hello everyone, I need help with the following problems. ...
- Calculus - Find the derivative of the following function: f(x)= 10x-3/5x +6x
- Calculus - Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x ...
- Calculus Please Need Urgent3 :/ - Find the derivative of the following function ...