Brief Calculus.

Question

Find dy/dt at x = 4 if y = -2x²+ 4 and dx/dt = -4

dy/dt = .....................

Answer 1

Find dy/dt at x = 4 if y = -2x²+ 4 and dx/dt = -4

Derive the equation y = -2x²+ 4 with respect to t:

dy/dt = -4x (dx/dt)

Substitute:

dy/dt = -4(4) (-4)

dy/dt = 64