Web Analytics

Verified Answer :

This problem uses the chain rule.

y = f(x), then dy/dt = f'(x) dx/dt.y = 2x^3 - 4x
dy/dt = (2(3)x^2 - 4)
dx/dt = (6x^2 - 4) * dx/dt
Since dx/dt = 4 and x = 1,
dy/dt = (6(1)^2 - 4)(4) = 8.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

dy/dt = dy/dx dx/dt
dy/dx = 6x^2 - 4
when x = 1, dy/dx = 6 - 4 = 2

dy/dt = 2
4 = 8.