Final answer:
The derivative of y with respect to t is -(3/2) * √(π - t)
Step-by-step explanation:
The question asks to find the derivative of y with respect to t, given that y = √(π - t)3.
To find the derivative, we can use the chain rule. Let u = π - t. So, y = u3/2. Taking the derivative of y with respect to t, we get:
dy/dt = (dy/du) * (du/dt)
Using the power rule, dy/du = (3/2) * u1/2. And du/dt = -1
Substituting these values, dy/dt = (3/2) * u1/2 * (-1) = -(3/2) * √(π - t)