Q. 66

# Mark (√) against the correct answer in the following:The function isA. increasing on RB. decreasing on RC. strictly increasing on RD. strictly decreasing on R

Given:

f(x) = 3x+cos3x

f’(x) = 3-3sin3x

f’(x) = 3(1-sin3x)

sin3x varies from[-1,1]

when sin3x is 1 f’(x) = 0 and sin3x is -1 f’(x) = 6

As the function is increasing in 0 to 6.

The function is increasing on R.

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