Help with simple differentiable problem! Find del-x/del-t for x=e^(3t)

[tsj1114]

The x-coordinate of a particle moving along the x-axis at time t is time given by x=e^(3t).
Find
lim

x/

t

t-->0

 

[Harry_the_cat]

The x-coordinate of a particle moving along the x-axis at time t is time given by x=e^(3t).
Find
lim

x/

t

t-->0

lim

x/

t = dx/dt. So the question is asking you to find dx/dt.

t-->0

 

[stapel]

The x-coordinate of a particle moving along the x-axis at time t is time given by x=e^(3t).

Find \(\displaystyle \,\displaystyle \lim_{\Delta t \rightarrow 0}\, \dfrac{\Delta x}{\Delta t}\)

How does your book define the "delta" operator? What did you get when you plugged the expression for x into this definition?

Please reply showing all of your steps so far. Thank you!