Question

How can the alternative definition of power:
P = \frac{w}{\Delta t} = F \frac{d}{\Delta t}

... can be derived by substituting the definitions of work and speed into the standard definition of power, P =\frac{W}{\Delta t}.

(Equations written without latex formatting:)
P = w/delta t = F(d/delta t)

P = W/delta t

I don't understand what the question wants, so I can't show why I have done so far sorry

Answer 1

We do not support LaTeX here, but you can use / for division, and unicode symbols for special characters.

Power = work / time
work = Force * distance
speed = distance / time
force * speed = force * distance / time

I believe the four equivalences are sufficient for you to get started.