How do you do this question?

-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

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^