Given z = 3x - x^2y^2, solve for \frac{\partial z}{\partial x} and \frac{\partial z}{\partial y}...
Question:
Given {eq}z = 3x - x^2y^2 {/eq}, solve for {eq}\frac{\partial z}{\partial x} {/eq} and {eq}\frac{\partial z}{\partial y} {/eq} using partial derivatives.
Partial Derivatives:
When a function contains multiple variables, it may have multiple partial derivatives. This is because we can only differentiate with respect to one variable at a time. Thus, if a function contains multiple variables, and if it's differentiable with respect to each variable, it will have as many partial derivatives as it has variables.
Answer and Explanation:
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View this answerOur function, {eq}z {/eq}, is a function of two variables. Thus, it has two partial derivatives: one with respect to {eq}x {/eq} and one with...
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Partial Derivative: Definition, Rules & Examples
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Chapter 18 / Lesson 12
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What is a Partial Derivative? Learn to define first and second order partial derivatives. Learn the rules and formula for partial derivatives. See examples.
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