Application Of Derivatives

Question

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
sin 2x + 5

Solution

Let f (x) = sin 2x + 5
We know that – 1 ≤ sin 2x ≤ 1
⇒ – 1 + 5 ≤ sin 2x + 5 ≤ 1 + 5 ⇒ 4 ≤ f (x) ≤ 6
∴ maximum value of f (x) is 6 and minimum value of f (x) is 4.

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 or minimum values, if any, of the following functions without using the derivatives:
sin 2x + 5

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 or minimum values, if any, of the following functions without using the derivatives:sin 2x + 5

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 or minimum values, if any, of the following functions without using the derivatives:
sin 2x + 5