Question

Given the functions y = 3x^3 + 6x and x = 2t^2 + t, find dy/dt

Answer 1

The answer is the option A.

dy        dy         dx
---- = ------- .   -------
dt         dx         dt

dy
---- = 9x^2 + 6
dx

dx
---- = 4t + 1
dt

=> dy / dt = (9x^2 + 6) (4t + 1)