For , consider the function . At which value of does attain its absolute minimum on…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For 0≤x≤2π0\le x\le 2\pi, consider the function g(x)=2cos⁡x+xg(x)=2\cos x+x. At which value of xx does gg attain its absolute minimum on the interval? (a) 5π6\dfrac{5\pi}{6} (b) π6\dfrac{\pi}{6} (c) π\pi (d) 7π6\dfrac{7\pi}{6}

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