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ਕਦਮ ਦਰ ਕਦਮ

1. f(x) = - x^{2} + 4 x

   Critical points are where f′(x) = 0 or is undefined.

2. f'(x) = 4 - 2 x

   Differentiate.

3. x = 2

   Solve f′(x) = 0.

4. f''(x) = -2

   Second-derivative test: f″ < 0 → maximum, f″ > 0 → minimum.

5. f''(2) = -2 \Rightarrow (2, 4) \text{ is a local maximum}

ਜਵਾਬ ਦਿਓ

(2, 4)\ \text{local maximum}