Chapter 2: Q. 49 (page 210)
Calculate each of the derivatives or derivative values in Exercises 47–52.
Chapter 2: Q. 49 (page 210)
Calculate each of the derivatives or derivative values in Exercises 47–52.
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Get started for freeProve that if f is any cubic polynomial function then the coefficients of f are completely determined by the values of f(x) and its derivative at x=0 as follows
In Exercises 69–80, determine whether or not f is continuous and/or differentiable at the given value of x. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative.
For each function f and value in Exercises 35–44, use a sequence of approximations to estimate . Illustrate your work with an appropriate sequence of graphs of secant lines.
For each function graphed in Exercises 65-68, determine the values of at which fails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.
Use (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23–38.
28.
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