Chapter 2: Q. 22 (page 197)
If possible, find constants a and b so that the function f that follows is continuous and differentiable everywhere. If it is not possible, explain why not.
Chapter 2: Q. 22 (page 197)
If possible, find constants a and b so that the function f that follows is continuous and differentiable everywhere. If it is not possible, explain why not.
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Get started for freeState the chain rule for differentiating a composition of two functions expressed
(a) in “prime” notation and
(b) in Leibniz notation.
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.
Prove, in two ways, that the power rule holds for negative integer powers
a) by using the definition of the derivative
b) by using thedefinition of the derivative
Find a function that has the given derivative and value. In each case you can find the answer with an educated guess and check process it may be helpful to do some preliminary algebra
Use the definition of the derivative to find for each function in Exercises 39-54
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