What is the formula to find the rate of change of the diagonal? (Partial Derivatives) Note: Please explain how you got the formula and clearly write out the answer (I cannot understand the answer when it is written as such: lDdt2mdwdt)  The length l, width w, and height h of a box change with time. At a certain instant the dimentions are l = 1 m and w = h = 2 m, and l and w are decreasing at a rate of 2 m/s while h is increasing at a rate of 3 m/s. At that instant we want to find the rate at which the length of the diagonal D of the box is changing

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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What is the formula to find the rate of change of the diagonal? (Partial Derivatives)

Note: Please explain how you got the formula and clearly write out the answer (I cannot understand the answer when it is written as such: lDdt2mdwdt)

 The length l, width w, and height h of a box change with time. At a certain instant the dimentions are l = 1 m and w = h = 2 m, and l and w are decreasing at a rate of 2 m/s while h is increasing at a rate of 3 m/s. At that instant we want to find the rate at which the length of the diagonal D of the box is changing 

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