Question

if y=3x^3-2x and (dx)/(dy) = 3, find (dy)/(dt) when x=-2​

Answer 1

Answer:

dy/dx = 9x²+2

dy = (9x²+2) dx

dy/dt = (9x²+2) dx/dt

if x = 2 and dx/dt=5 then

dy/dt = (9*2²+2)*5 = 38*5 = 190