f(x, y) = V4a? + 5y? f.(2, – 2) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please explain clearly. No cursive writing. 

The image contains a mathematical function and an expression requiring evaluation. The function given is:

\[ f(x, y) = \sqrt{4x^2 + 5y^2} \]

The task is to calculate the partial derivative of the function with respect to \(x\) and evaluate it at the point \((2, -2)\). This is denoted as:

\[ f_x(2, -2) = \]

A rectangular box is provided for the solution.
Transcribed Image Text:The image contains a mathematical function and an expression requiring evaluation. The function given is: \[ f(x, y) = \sqrt{4x^2 + 5y^2} \] The task is to calculate the partial derivative of the function with respect to \(x\) and evaluate it at the point \((2, -2)\). This is denoted as: \[ f_x(2, -2) = \] A rectangular box is provided for the solution.
Given the function \( f(x, y) = 2x^5 + 3xy^6 - 2y^4 \), find:

\[ f_x(x, y) = \]

\[ f_y(x, y) = \]
Transcribed Image Text:Given the function \( f(x, y) = 2x^5 + 3xy^6 - 2y^4 \), find: \[ f_x(x, y) = \] \[ f_y(x, y) = \]
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