Question

Assume x and y are both differentiable and functions of t. y = x^(1/3), find the derivative of y with respect to t when x = 27, given the derivative of x with respect to t = 9.

Answer 1

have you found dy/dt?

Answer 2

we are given that x and y are functions of t
so you will have to use chain rule for both

Answer 3

for example if i wanted to find dy/dt where x and y are functions of t
and y=5x
then dy/dt=5 dx/dt

Answer 4

use the power rule along with the chain rule to differentiate the x^(1/3) part

Answer 5

Sorry, finally figured out what my course was asking.

Answer 6

cool stuff