At time t a particle moving along the x-axis is at position x. The relationship between x and t is given by: tx = x^2 +10. At x=2 what is the velocity of the particle.

- Mar 3rd 2009, 07:34 AMswatpup32[SOLVED] Is this problem a related rate or first derivative(velocity).
At time t a particle moving along the x-axis is at position x. The relationship between x and t is given by: tx = x^2 +10. At x=2 what is the velocity of the particle.

- Mar 3rd 2009, 07:45 AMsbcd90
on differentiating,

x+t*dx/dt=2x

or,dx/dt=x/t=2/t.

now,put,x=2 in original equation,u get,t=7.

so,dx/dt(x=2)=2/7 units. - Mar 3rd 2009, 09:48 AMswatpup32
is sbcd90 correct?

I still don't understand.