Let f(x, y) = (-(2x + y))^8. Then find partial^2 f/partial x partial y, partial^3 f/partial x...
Question:
Let {eq}f(x, y) = (-(2x + y))^8 {/eq}.
Then find {eq}\displaystyle \frac{\partial^2 f}{\partial x \partial y},\ \frac{\partial^3 f}{\partial x \partial y \partial x},\ \frac{\partial^3 f}{\partial x^2 \partial y} {/eq}.
Higher Order:
Determine the derivatives of higher order is equivalent to calculate the derivative iteratively until you reach the order that is requested:
for example, third order partial derivatives require the calculation of three partial derivatives iteratively.
Answer and Explanation: 1
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View this answerGiven the function {eq}f(x, y) = (-(2x + y))^8 {/eq}, we can simplify first the expression of the function {eq}f(x,y) = {( - (2x + y))^8} = {\left(...
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Higher-Order Partial Derivatives Definition & Examples
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Chapter 14 / Lesson 2
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Learn what partial derivatives and higher order partial derivatives are. Find out how to solve higher and second order partial derivatives with examples.
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