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Chapter 2: Q 17. (page 238)
Find the derivatives of the function:
The derivative of
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Find the derivatives of the functions in Exercises 21鈥�46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
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.
State the chain rule for differentiating a composition of two functions expressed
(a) in 鈥減rime鈥� notation and
(b) in Leibniz notation.
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 prove the following special case of the product rule
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