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Application of Derivatives
Question
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Find the maximum or minimum values, if any, of the following functions without using the derivatives:
– | x + 1 | + 3

Answer

Let f (x) = – | x + 1 | + 3
Now | x + 1 | ≥ 0 ∀ x ∊ R
⇒ – | x + 1 | ≥ 0 ∀ x ∊ R ⇒ – | x + 1 | + 3 ≤ 3 ∀ a ∊ R
∴  maximum value of f (x) is 3 and it has no minimum value.

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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.