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Application of Derivatives
Question
Wired Faculty App

Without using the derivative show that the function f (a) = 7x – 3 is a strictly increasing function on R.

Answer

Let x1, x2 ∊ R and let x1< x2
Now x1 < x2 ⇒ 7 x1, < 7 x2 ⇒ 7 x1 – 3 < 7 x2, – 3
⇒ f (x1) < f (x2)
∴   f is strictly increasing function in 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.