Suppose z=x^2siny, x=−2s^2−5t^2, y=−10st.
A. Use the chain rule to find ∂z/∂s and ∂z/∂t as functions of x, y, s and t.
∂z/∂s=_________________________
∂z/∂t= _________________________
B. Find the numerical values of ∂z/∂s and ∂z/∂t when (s,t)=(−2,−1).
∂z/∂s(−2,−1)= ______________________
∂z/∂t(−2,−1)= ______________________