Derivative of x: Taking Derivatives of \sqrt{(10t-3)^{2} + (2t)^{2}}

[joemama69]

Homework Statement

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

Find the derivative

Homework Equations

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

 

[njama]

That's correct.

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.