If f x - x 3-3 x 2-4 x - a sin x - b cos x - x - R is one - one function then the maximum value of a 2- b 2 isA- -3B- 4C- 1D- 2

The correct option is C 1f'(x) ≥ 0 3x^2 + 6x + 4 ≥ b sinx a cos x 3(x + 1)^2 + 1 ≥ b sinx a cos x ≥√((a^2+b^2 )) √((a^2+b^2 ))≤ 1 ...

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Principal Solution of Trigonometric Equation

If f x = x 3+...

Question

If $f (x) = x^{3} + 3 x^{2} + 4 x + a s i n x + b c o s x \forall x ϵ R$ is one - one function then the maximum value of $a^{2} + b^{2}$ is

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\sqrt{3}

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