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Application of Derivatives
Question
Wired Faculty App

Show that the function f (x) = 2 x + 3 is a strictly increasing function on R.

Answer

Let x1 , x2 ∊ R and let x1 < x2
Now x1, < x2
⇒ 2x1 < 2x2
⇒ 2x1 + 3 < 2x2 + 3
⇒ f (x1) < f (x2)
⇒ f is an increasing function on R.

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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.