Chapter 12: Q. 7 (page 988)
Describe the meanings of each of the following mathematical expressions :
Short Answer
Ans: It means a partial derivative of w with respect to y. Or the partial rate of change of w with respect to y.
Chapter 12: Q. 7 (page 988)
Describe the meanings of each of the following mathematical expressions :
Ans: It means a partial derivative of w with respect to y. Or the partial rate of change of w with respect to y.
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Get started for freeUse Theorem 12.33 to find the indicated derivatives in Exercises 27–30. Express your answers as functions of two variables.
In Exercises, by considering the function subject to the constraint you will explore a situation in which the method of Lagrange multipliers does not provide an extremum of a function.
Why does the method of Lagrange multipliers fail with this function?
Find the gradient of the given function, and find the direction in which the function increases most rapidly at the specified point P.
Use Theorem 12.33 to find the indicated derivatives in Exercises 27–30. Express your answers as functions of two variables.
Prove that if you minimize the square of the distance from the origin to a point (x, y) subject to the constraint , you have minimized the distance from the origin to (x, y) subject to the same constraint.
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