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Consider the following multivariate function: W = 5 + 3 T + � M Where M = Male T = Time of...

Question:

Consider the following multivariate function:

W = 5 + 3 T +  M

Where M = Male

T = Time of Services

Find the second partial derivative of W with respect to M

Find the second partial derivative of W with respect to T

Interpret your findings

High Order Derivative:

The first order derivative of a function measures the change in the value of the dependent variable for a small change in the value of the independent variable. Second order derivative is the the derivative of the first order derivative.

Answer and Explanation: 1

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Given the function form, the first and second partial derivative with respect to M is:

  • {eq}\displaystyle \frac{dW}{dM} = 1 {/eq}
  • {eq}\displaystyle...

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Calculating Higher Order Derivatives

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Chapter 8 / Lesson 10
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Higher order derivatives, 2nd, 3rd, and 4th order derivatives, can be calculated using the change in rate of acceleration, known as 'jerk'. Learn how to find these higher order derivatives and the concept of 'jerk' in mathematics.


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