ແກ້​ໄຂ​ບັນຫາ​ຄະນິດສາດ​ໃດໆ

ຂັ້ນ​ຕອນ​ຕໍ່​ຂັ້ນ​ຕອນ

1. f(x) = x^{2} + \frac{16}{x}

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

2. f'(x) = 2 x - \frac{16}{x^{2}}

   Differentiate.

3. x = 2

   Solve f′(x) = 0.

4. f''(x) = 2 + \frac{32}{x^{3}}

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

5. f''(2) = 6 \Rightarrow (2, 12) \text{ is a local minimum}

ເປີດ​ເຜີຍ​ຄຳ​ຕອບ

(2, 12)\ \text{local minimum}