# 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.

## Answer and Explanation: 1

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View this answerGiven the values and the variables: {eq}r = xy + y{z^2},s = siny + {e^{xz}},{w_r}\left( {0,1} \right) = 2,{w_s}\left( {0,1} \right) = 5 {/eq}, using...

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Chapter 14 / Lesson 4This lesson defines the chain rule. It goes on to explore the chain rule with partial derivatives and integrals of partial derivatives.