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Application Of Derivatives

Question

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Prove that the following functions do not have maxima or minima:
f(x) = e^x

Solution

Let f (x) = e^x∴ f ' (x) = e^xNow f ' (x) ≠ for any x ∊ R
∴ f (x) has neither maximum nor 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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