# Homework Help: Differentiate Problem.

1. Jul 22, 2010

### Nawz

1. The problem statement, all variables and given/known data

Differentiate.

f(x) = (x) (square root of (x2+5))

2. Relevant equations

3. The attempt at a solution

f(x) = (x) (square root of (x2+5))

=(x)(x2+5)1/2

f'(x)=(x)1/2(x2+5)-1/2(2x)+(1)(x2+5)

=x3/(x2+5)1/2+(x2+5)1/2

I'm having problems simplifying. The answer in the back of the book is 2x^2 + 5 / Square root of x^2+5..

Last edited: Jul 22, 2010
2. Jul 22, 2010

### Staff: Mentor

The above is correct, but you made a mistake in the next line.
This should be $$\frac{x^2}{(x^2 + 5)^{1/2}} + (x^2 + 5)^{1/2}$$

You can take a factor of 1/(x2 + 5)1/2 from both terms above.

3. Jul 22, 2010

### Nawz

Thank You! Thank You!