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(Solved): Calculate the first five derivatives of \( f(x)=\sin (x) \). Then determine \( f^{(8)} \) and \( f ...
Calculate the first five derivatives of \( f(x)=\sin (x) \). Then determine \( f^{(8)} \) and \( f^{(9)} \). (Use symbolic notation and fractions where needed.) \[ f^{\prime}(x) \text { : } \] \[ f^{\prime \prime}(x)= \] \[ f^{\prime \prime \prime}(x) \] \[ f^{(4)}(x) \] \[ f^{(8)} \text { ? } \] \( f^{(9)}(\lambda \)
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