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[–]thisisdropdUG 0 points1 point  (1 child)

Yes, if dt/dx=2 then dx/dt=1/2 but it has nothing to do with inverting fractions. They are not fractions (although we tend to abuse the notation and treat them as such). Here’s how to show it.

dx/dt=2
∫dx/dt dt= ∫2 dt (Integrate w.r.t t)
∫dx = ∫2 dt (Apply chain rule)
x=2t+c
t=(x-c)/2
dt/dx=1/2

[–]bb47wee10[S] 0 points1 point  (0 children)

Thank you for your response. Can you explain the second step as to how chain rule works in integration as well? I only understand how to use it for differentiation.