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Application Of Derivatives

Question

Find the maximum and the minimum values, if there be any, of f given by f(x) = 9x²– 6x + 1, x ∊ R.

Solution

The given function is
f (x) = 9x²– 6x + 1, x ∊ R
= (3x – 1) 2 ≥ 0, ∀ x ∊ R.
Also, f(x) = 0, if $straight x space equals space 1 third.$ Therefore, the minimum value of f is 0 and the point of minimum value of f is Futher,f has no maximum value and hence no point of maximum value of in R.

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 the minimum values, if there be any, of f given by f(x) = 9x²– 6x + 1, x ∊ R.

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 the minimum values, if there be any, of f given by f(x) = 9x2 – 6x + 1, x ∊ R.

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 the minimum values, if there be any, of f given by f(x) = 9x²– 6x + 1, x ∊ R.