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.

Question

freckles · Answer

have you found dy/dt?

freckles · Answer

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

freckles · Answer

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

freckles · Answer

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

anonymous · Answer

Sorry, finally figured out what my course was asking.

freckles · Answer

cool stuff