Ex 6.2,2 - Chapter 6 Class 12 Application of Derivatives

Last updated at April 16, 2024 by

Ex 6.2, 2 - Show that f(x) = e2x is strictly increasing on R

Transcript

Ex 6.2, 2 Show that the function given by f (x) = e2x is strictly increasing on R. Let 𝑥1 and 𝑥2 be real numbers Such that 𝒙𝟏 < 𝒙2 Multiplying both sides by 2 2𝑥1 < 2𝑥2 Taking exponential both sides 𝑒^2𝑥1 < 𝑒^2𝑥2 f (𝒙𝟏) < f ( 𝒙2) Hence, when x1 < x2 , f(x1) < f(x2) Thus, f(x) is strictly increasing on R.

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