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Application Of Derivatives

Question

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

Solution

The given function is non-positive for all x ∊ R
Also, f (x) = 0 if x = 0. Therefore, the maximum value of f is 0 and the point of maximum value of f is x.
Further, note that f has no minimum value in R and hence no point of minimum value of f 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 of f, if there be any, given by
f(x) = – x², 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 of f, if there be any, given byf(x) = – x2, 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 of f, if there be any, given by
f(x) = – x², x ∊ R