Answer:
-3/16
Step-by-step explanation:
x = 6 + t²
y = t² + t³
dx/dt = 2t
dy/dt = 2t + 3t²
dy/dx = (2t + 3t²) / 2t
dy/dx = 1 + 1.5t
d²y/dx² = d(dy/dx)/dt / (dx/dt)
d²y/dx² = (1.5) / (2t)
d²y/dx² = 3 / (4t)
At t = -4:
d²y/dx² = 3 / (4 × -4)
d²y/dx² = -3/16
