6. With the definition \( \sinh(x) = \frac{e^{x} - e^{-x}}{2} \) ,we know that exists.Prove that \( \frac{d}{dx} \sinh^{-1}(x) = \frac{1}{\sqrt{x^2 + 1}} \)(10%)
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6. With the definition \( \sinh(x) = \frac{e^{x} - e^{-x}}{2} \) ,we know that exists.Prove that \( \frac{d}{dx} \sinh^{-1}(x) = \frac{1}{\sqrt{x^2 + 1}} \)(10%)