7. Define the function $\tanh(x) = \frac{e^x - e^{-x}}{e^x + e^{-x}}$. Prove that $\tanh x$ is increasing.
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7. Define the function $\tanh(x) = \frac{e^x - e^{-x}}{e^x + e^{-x}}$. Prove that $\tanh x$ is increasing.