For , determine the average rate of change of as varies from to…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

For g(θ)=sin⁡θ+cos⁡θg(\theta)=\sin\theta+\cos\theta, determine the average rate of change of gg as θ\theta varies from 00 to π\pi (radians). (a) −1π-\dfrac{1}{\pi} (b) 2π\dfrac{2}{\pi} (c) −2π-\dfrac{2}{\pi} (d) −4π-\dfrac{4}{\pi}

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