For , which of the following correctly lists the stationary points and their…

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

Problem

For g(x)=x3−3x2−9x+5g(x)=x^{3}-3x^{2}-9x+5, which of the following correctly lists the stationary points and their nature? (a) Local maximum at (−1,10)(-1,10) and local maximum at (3,−22)(3,-22) (b) Local minimum at (−1,10)(-1,10) and local maximum at (3,−22)(3,-22) (c) Local maximum at (−1,10)(-1,10) and local minimum at (3,−22)(3,-22) (d) Local minimum at (−1,10)(-1,10) and local minimum at (3,−22)(3,-22)

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