II. Differentials Recall, the DERIVATIVE values represent SLOPE values on a given function. Slope = Derivative = The quantities, dy and dx are called “differentials”, and represent small, nonzero values for the changes in y and x. Specifically, if y=f(x), then Differentials are used to approximate changes in the output values of a function given small changes in the input values. THIS IS REALLY JUST THE SAME AS UTILIZING LINEAR APPROXIMATIONS, but allows us to shortcut the process of writing the equation of the line.
II. Differentials Recall, the DERIVATIVE values represent SLOPE values on a given function. Slope = Derivative = The quantities, dy and dx are called “differentials”, and represent small, nonzero values for the changes in y and x. Specifically, if y=f(x), then Differentials are used to approximate changes in the output values of a function given small changes in the input values. THIS IS REALLY JUST THE SAME AS UTILIZING LINEAR APPROXIMATIONS, but allows us to shortcut the process of writing the equation of the line.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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