[f(x)]", where n is a Recall the general power rule, which states that if the function f is differentiable and h(x) real number, then the following is true. LF(x)]" = n[f{x)1" - 'f'(x) dx h'(x) For "[(t' - 2)°] we have a differentiable function being raised to a power. Let g(t) = t' – 2 and n = 5. dt Therefore, we have the following. dt Applying the general power rule to the above gives us the following result. d [(g(t))"] = n[g(t)]" - 'g'(t) %3D dt d e? - 2)51 = 5(t7 – 2)5 – 1((| dt 7 – 2)4

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