taking derivatives

[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

[njama]

That's correct. :smile:

You can divide both nominator and denominator with 2.

[LCKurtz]

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

dx/dt = your answer.