For the function on the interval

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For the function g(x)=sin⁡x+x2g(x)=\sin x+\dfrac{x}{2} on the interval [0,2π][0,2\pi], at which of the following xx-values does gg attain its absolute maximum on the interval? (a) π2\dfrac{\pi}{2} (b) 4π3\dfrac{4\pi}{3} (c) 2π2\pi (d) 2π3\dfrac{2\pi}{3}

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