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?Compute \(\Delta y\) and \(dy\) for the given values of \(x\) and \(d x=\Delta x\)
Chapter 3, Problem 24(choose chapter or problem)
QUESTION:
Compute \(\Delta y\) and \(dy\) for the given values of \(x\) and \(d x=\Delta x\). Then sketch a diagram like Figure 5 showing the line segments with lengths \(d x, \ d y\), and \(\Delta y\).
\(y=x-x^{3}, \quad x=0, \quad \Delta x=-0.3\)
Questions & Answers
QUESTION:
Compute \(\Delta y\) and \(dy\) for the given values of \(x\) and \(d x=\Delta x\). Then sketch a diagram like Figure 5 showing the line segments with lengths \(d x, \ d y\), and \(\Delta y\).
\(y=x-x^{3}, \quad x=0, \quad \Delta x=-0.3\)
ANSWER:Step 1 of 3
Consider the function 
Differentiate the function as,
