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Application of Derivatives
Question
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Find the maximum and the minimum values, if there be any, of f given by f(x) = x,  x ∊ (0, 1).

Answer

The given function is an increasing function in the given interval (0, 1). So the function f should have the minimum value at a point closest to 0 on its right and the maximum value at a point closest to 1 on its left. It is not possible to locate such points. Therefore, the given function has neither the maximum value nor the minimum value in the interval (0, 1).

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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.