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


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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.