Hello, Blue Griffin!

We have: .1. At time t a particle is moving along the x-axis is at position x.

The relationship between t and x is given by: .

At x = 2, the velocity of the particle is:

. .

. . Then: .

. . Hence: .

At . Answer (E)

Differentiate implicitly: .

. .

. .

. .

. .

When , the original equation is: .

Therefore: . . Answer (E)

We have: .

Then: . . . . . but

So we have: .

Product Rule: . . . . . but

Therefore: . . Answer (A)