Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t

x=4e-2t, y=4-2e2t

dy/dx = dy/dt * dt/dx

dy/dt = -4e2t

dx/dt = -8e-2t           dt/dx = -1/8 * e2t

dy/dx = (-4e2t)(-1/8 * e2t) = 1/2 * e4t

dy/dx = 0.5e4t

 

JM

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