For the infinitely defined discontinuous functionHow many pointssuch thata)f andlsquo;(c) = 1b)256c)512d)16Correct answer is option 'A'. Can you explain this answer?

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For the infinitely defined discontinuous function

How many points

such that

a)
f ‘(c) = 1
b)
256
c)
512
d)
16

Correct answer is option 'A'. Can you explain this answer?

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Verified Answer

For the infinitely defined discontinuous functionHow many pointssuch t...

To find points such that f'(c) = 1

We need to check points on graph where slope remains the same ( 45 degrees)

In every interval of the form [(n – 1)π, nπ] we must have 2n – 1 points

Because sine curve there has frequency 2n and the graph is going to meet the graph y = x at 2n points.

Hence, in the interval [0, 16π] we have

= 1 + 3 + 5…….(16terms)

=(16)² = 256.

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