The value of - a - for which the function fx-asin x-1-3sin 3 x has an extremum at x-3 isA- -2 B- 2-3C- -2-3D- 2

The correct option is D 2acos x +1/3.3 cos 3x =0 for x =π/3 a 1/2+( 1)=0 a =2 ...

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Principal Solution of Trigonometric Equation

The value of ...

Question

The value of ‘a’ for which the function $f (x) = a s i n x + \frac{1}{3} s i n 3 x$ has an extremum at $x = \frac{π}{3}$ is

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-2

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\frac{2}{3}

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- \frac{2}{3}

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a

f (x) = a sin x + \frac{1}{3} sin 3 x

x = \frac{π}{3}

f (x) = a sin x + \frac{1}{3} sin 3 x

x = π / 3

a

f (x) = a sin x + (\frac{1}{3}) sin 3 x

x = \frac{π}{3}

\frac{1}{3} \sin 3 x

\frac{π}{3}

$f (x) = a I n | x | + b x^{2} + x$ has its extremum values at x = – 1 and x = 2 then a + 2b =

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