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Application of Derivatives — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsApplication of Derivatives1 Mark
Question
Show that the function given by f(x) = 7x – 3 is increasing on R.
✓

Answer

Let x1 and x2 be any two numbers in R. Then
x1 < x2
$\Rightarrow$ 7x1 < 7x2
$\Rightarrow$ 7x1 – 3 < 7x2 – 3
​$\Rightarrow$ f(x1) < f(x2)
Thus, f is strictly increasing on R.

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