# Taking derivatives

1. Sep 13, 2009

### joemama69

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

x = $$\sqrt{(10t-3)^{2} + (2t)^{2}}$$

Find the derivative

2. Relevant equations

3. The attempt at a solution

x = $$\sqrt{(10t-3)^{2} + (2t)^{2}}$$

x = $$\sqrt{(104t^{2} - 60t + 9}$$

dx = $$\frac{1}{2\sqrt{104t^{2} - 60t + 9}}$$(208t-60)

dx = $$\frac{208t-60}{2\sqrt{104t^{2} - 60t + 9}}$$
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Sep 13, 2009

### njama

That's correct.

You can divide both nominator and denominator with 2.

3. Sep 13, 2009

### LCKurtz

But what you computed isn't dx. In your equations you should have