Assume that the amount of learning you acquire can be summarized by the following relationship (or equation) and that your motivation to learn and the quality of instruction are both rated on a scale from 1 to 10: Amount of learning acquired = 0.2 (number of books read) + 0.25 (hours spent studying) + 0.15 (quality of instruction) + 0.4 (motivation to learn). If the quality of instruction rises from 8 to 10, by how much will the amount of learning acquired rise as a result?
Derivatives in math measure the rate of change of one variable with respect to another. Partial derivatives are used when there are multiple independent variables for a single dependent variable.
Answer and Explanation: 1
The partial derivative of the amount of learning acquired in respect to the quality of instruction is constant at 0.15. This means for...
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fromChapter 14 / Lesson 4
When evaluating the derivative of composite functions of several variables, the chain rule for partial derivatives is often used. In this lesson, we use examples to explore this method.