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Chapter 2: Q. 1TB (page 196)
Factoring formulas: Pull out a linear factor from each of the
following expressions.
Linear factor from each of the expression
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Differentiate in three ways. When you have completed all three parts, show that your three answers are the same:
(a) with the chain rule
(b) with the product rule but not the chain rule
(c) without the chain or product rules.
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鈥�38.
27.
use the definition of derivative to directly prove the differentiation rules for constant and identity function
In Exercises 69鈥�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.
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The line that passes through the point and is parallel to the tangent line to at .
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