Thursday

November 27, 2014

November 27, 2014

Posted by **Liz** on Tuesday, April 17, 2012 at 9:54pm.

Find the derivative of the function:

f(x)= xsqrt(x-1)/(x+2)

- Calculus -
**Steve**, Wednesday, April 18, 2012 at 5:56amf = x√t(x-1)/(x+2)

f' = [(x√(x-1))'(x+2) - x√(x-1)(1)]/(x+2)^2

= [{√(x-1) + x/2√(x-1)}(x+2) - x√(x-1)]/(x+2)^2

= (x^2+6x-4)/(2√(x-1)(x+2)^2)

wolframalpha . com will show you the steps for almost any derivative you can throw at it.

**Answer this Question**

**Related Questions**

calculus - For x>0 find and simplify the derivative of f(x)= arctan(x) + ...

Calculus (Derivatives) - Find the derivative of the function f by using the ...

Calculus - Find f(x) so that it satisfies: f'(x)=1/sqrt(x) and f(4)=2. Please ...

Calculus 1 Implicit differentiation - Help please help me understand what i am ...

calculus - what is the 2nd derivative of: 1-xy = x-y i get (-y-1)/(x-1) for the ...

calculus - PLEASE HELP Find the first and second derivatives of the function. y...

Math - how do you solve this I keep trying and I keep getting the wrong answer. ...

Calculus - Find the third Derivative of f(x)=x(3x-7)^3 The answer is 3x-1134 but...

Calculus - Let f(x)= (1/x). Use the limit definition of derivative to find f'(x...

Calculus - Let f(x)= (1/x). Use the limit definition of derivative to find f'(x...