How fast is the distance from a point on y=√x to (2,0) changing?

[algar32]

Word problem Derivative of Distance formula... Super hard. Please help.

Homework Statement

A point P is moving along the cruve whose equation is y=√x. Suppose that x is increasing
at the rate of 40 units/s when x=3. How fast is the distance between p and the point (2,0) changing\
at that instant?

Homework Equations

Distance forumula

The Attempt at a Solution

Not even posting it... Its completely wrong


Can you please show me how to do this? Show your work please.

Thanks you.

 

[algar32]

Sorry I meant to say curve... not cruve.

 

[rock.freak667]

Let's call the distance between P and (2,0) as s and P has the coordinates (x,y).

What is the distance between P and (2,0) ? (Use your distance formula here)

 

[algar32]

i got it