For the infinitely defined discontinuous function\(\begin{cases}x+sin(2x)& :x\in [0,\pi] \\ x+sin(4x)& :x\in (\pi,2\pi] \\ x+sin(6x)& :x\in (2\pi,3\pi] \\.\\.\\x+sin(2nx)& :x\in [(n-1)\pi,n\pi)\\.\\.\end{cases}\) How many points c∈[0,16x] exist, such that f'(c) = 1

For the infinitely defined discontinuous function\(\begin{cases}x+sin

1.	For the infinitely defined discontinuous function\(\begin{cases}x+sin(2x)& :x\in [0,\pi] \\ x+sin(4x)& :x\in (\pi,2\pi] \\ x+sin(6x)& :x\in (2\pi,3\pi] \\.\\.\\x+sin(2nx)& :x\in [(n-1)\pi,n\pi)\\.\\.\end{cases}\) How many points c∈[0,16x] exist, such that f'(c) = 1
A.	256
B.	512
C.	= 1a) 256b) 512c) 16
D.	0view answer
Answer» B. 512

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For the infinitely defined discontinuous function\(\begin{cases}x+sin(2x)& :x\in [0,\pi] \\ x+sin(4x)& :x\in (\pi,2\pi] \\ x+sin(6x)& :x\in (2\pi,3\pi] \\.\\.\\x+sin(2nx)& :x\in [(n-1)\pi,n\pi)\\.\\.\end{cases}\) How many points c∈[0,16x] exist, such that f'(c) = 1

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