If y=a e^x+b e^{-x}+c,where a, b, c are param | vedclass

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(C) Given the function $y = a e^x + b e^{-x} + c$. First derivative: $y^{\prime} = \frac{d}{dx}(a e^x + b e^{-x} + c) = a e^x - b e^{-x}$. Second deri

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$y^{\prime}$

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(C) Given the function $y = a e^x + b e^{-x} + c$. First derivative: $y^{\prime} = \frac{d}{dx}(a e^x + b e^{-x} + c) = a e^x - b e^{-x}$. Second derivative: $y^{\prime \prime} = \frac{d}{dx}(a e^x - b e^{-x}) = a e^x + b e^{-x}$. Third derivative: $y^{\prime \prime \prime} = \frac{d}{dx}(a e^x + b e^{-x}) = a e^x - b e^{-x}$. Comparing this with the first derivative,we see that $y^{\prime \prime \prime} = y^{\prime}$.

If $y=a e^x+b e^{-x}+c$,where $a, b, c$ are parameters,then $y^{\prime \prime \prime}$ is equal to

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