Chapter 2: Q. 3TB (page 196)
Associated slope functions: For each of the following two function graphs, sketch a careful, labeled graph of its associated slope function.
Short Answer
The graph of slope is
Slope of second graph
Chapter 2: Q. 3TB (page 196)
Associated slope functions: For each of the following two function graphs, sketch a careful, labeled graph of its associated slope function.
The graph of slope is
Slope of second graph
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Get started for freeUse (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23โ38.
27.
Find the derivatives of the functions in Exercises 21โ46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
Prove that if f is a quadratic polynomial function then the coefficient of f are completely determined by the values of f(x) and its derivatives at x=0 as follows
For each function f and value in Exercises 35โ44, use a sequence of approximations to estimate . Illustrate your work with an appropriate sequence of graphs of secant lines.
Use thedefinition of the derivative to prove the power rule holds for positive integers powers
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