find range of e^2x+1/e^2x-1
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Step-by-step explanation:
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Step-by-step explanation:
f(x) = [(e2x – 1)/(e2x + 1)] ∴ f'(x) = [{[(e2x + 1) (e2x) – (e2x – 1)(e2x)]2}/{(e2x + 1)2}] = [{[e2x + e2x – e4x + e2x] × 2}/{(1 + e2x)2}] = [{4e2x}/{(1 + e2x)2}] f'(x) = [{4e2x}/{(1 + e2x)2}] > 0 ⇒ f(x) is increasing function
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