JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

{\left( {1 + x} \right)^n} \le 1 + {x^n},

where

View answer and explanation

Correct option: B

0 \le n \le 1\,\mathrm{and}\,x > 0

Option B (

0 \le n \le 1\,\mathrm{and}\,x > 0

) is correct because it satisfies the inequality based on the properties of the function's derivative.

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

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f\left( x \right) = {x^3} + b{x^2} + cx + d

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\left( { - \infty ,\;\infty } \right)