Application Of Derivatives

Question

Find the maximum and minimum values, if any, of the following functions without using the derivatives:
– (x – 1)²+ 10

Solution

Let f (x) = – (x – 1)² + 10
Now (x – 1 )² ≥ 0 ∀ x ∊ R
⇒ – (x – 1)² ≤ 0 ∀ x ∊ R ⇒ – (x – 1)² + 10 ≤ ∀ x ∊ R
∴ maximum value of f (x) is 10. It has no minimum value.

Some More Questions From Application of Derivatives Chapter

The radius of a circle is increasing uniformly at the rate of 4 cm per second Find the rate at which the area of the circle is increasing when the radius is 8 cm.

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Application Of Derivatives

Find the maximum and minimum values, if any, of the following functions without using the derivatives:
– (x – 1)²+ 10

Some More Questions From Application of Derivatives Chapter

The radius of a circle is increasing uniformly at the rate of 4 cm per second Find the rate at which the area of the circle is increasing when the radius is 8 cm.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Application Of Derivatives

Find the maximum and minimum values, if any, of the following functions without using the derivatives:– (x – 1)2 + 10

Some More Questions From Application of Derivatives Chapter

The radius of a circle is increasing uniformly at the rate of 4 cm per second Find the rate at which the area of the circle is increasing when the radius is 8 cm.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the maximum and minimum values, if any, of the following functions without using the derivatives:
– (x – 1)²+ 10