Give an example of a continuous function whose derivative does not exist at x = 0. (hint: this would be relatively easy to do with a piecewise function, but you have to think of a function that uses formula that maple ta recognises. check the syntax guide for examples of the functions that are accepted by maple ta.) (b) give an example of a function which is continuous at x 2 but whose derivative does not exist at x = 2 3 but whose derivative does not exist at any of those points. (c) give an example of a function that is continuous at x = -2, x = 0 and x

the correct answer to your question is a. 4^4

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step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.