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The function f ( x ) = cot -1 x+ x increases in the interval
- a)(1, ∞ )
- b)( -1,∞ )
- c)( -∞, ∞ )
- d)( 0, ∞ )
Correct answer is option 'C'. Can you explain this answer?
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The function f ( x ) = cot -1 x+ x increases in the intervala)(1, &inf...
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The function f ( x ) = cot -1 x+ x increases in the intervala)(1, &inf...
This statement is false.
The derivative of f(x) = cot⁻¹x is given by:
f'(x) = -1 / (1 + x²)
This derivative is negative for all x ∈ (1, ∞), which means that the function is decreasing in this interval. Therefore, the correct answer is (b) (1, ∞).
The derivative of f(x) = cot⁻¹x is given by:
f'(x) = -1 / (1 + x²)
This derivative is negative for all x ∈ (1, ∞), which means that the function is decreasing in this interval. Therefore, the correct answer is (b) (1, ∞).
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The function f ( x ) = cot -1 x+ x increases in the intervala)(1, ∞ )b)( -1,∞ )c)( -∞, ∞ )d)( 0, ∞ )Correct answer is option 'C'. Can you explain this answer?
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