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18. the expression (e^2x-e^-2x)/(e^2x)+e^(-2x) is equivalent to __ a. 1 b. sinhx c. sinh2x d. tanh2x

Question

18. The expression (e^2x-e^-2x)/(e^2x)+e^(-2x) is equivalent to __ A. 1 B. sinhx C. sinh2x D. tanh2x

Solution

Verificación de expertos
4.4 (238 Votos)
Orlando Elite · Tutor por 8 anos

Resposta

D

Explicação

The given expression is \((e^{2x}-e^{-2x})/(e^{2x}+e^{-2x})\). This expression is equivalent to the hyperbolic tangent function, denoted as \(tanh(x)\). Specifically, the expression is equivalent to \(tanh(2x)\). Therefore, the correct answer is option D: .