# Suppose w is a function of r and s and r = x y + y z^2, s = sin y+ e^(x z). Use the information...

## Question:

Suppose {eq}w {/eq} is a function of {eq}r {/eq} and {eq}s{/eq} and {eq}r = x y + y z^2, s = sin y+ e^{(x z)}.{/eq} Use the information given below to compute {eq}w_y (-1,0,0) : w_r (0,1) = 2 , w_s (0,1) = 5. {/eq}

## Using Chain Rule:

With the chain rule, the derivative of the compound functions can be calculated, that is, derivatives with respect to variables that the function does not directly depend on.