Chapter 2: Q 2. (page 237)
Basic definition-of-derivative calculations: Find the derivatives of the functions that follow, using (a) the definition of the derivative and (b) the definition of the derivative.
Chapter 2: Q 2. (page 237)
Basic definition-of-derivative calculations: Find the derivatives of the functions that follow, using (a) the definition of the derivative and (b) the definition of the derivative.
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Get started for freeThe following reciprocal rules tells us hoe to differentiate the reciprocal of a function
Prove this using
a) definition of the derivative
b) by using the quotient rule
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.
Use the definition of the derivative to find for each function in Exercises 34-59
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.
24.
Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
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