Question

x= t^2 + 2t
y= 2t^3 - 6t

get dy/dx when t = 0, 2, 5

Answer 1

find dy/dt, dx/dt
dy/dt * dt/dx to find dy/dx

Answer 2

dx/dt= 2t+2
dy/dt=6t^2 -6

Answer 3

(6t^2-6)/(2t+2)

Answer 4

plug in number

Answer 5

i already have my own solution. i just need to verify if i did it right.

Answer 6

at 0 -> -3
at 2 -> 3
at 5 -> 12

Answer 7

yes. i got it right. thanks for verifying it. :)