Use Theorem 2 to calculate g'(x), where g is the inverse of . (x) = x 5

Use Theorem 2 to calculate g'(x), where g is the inverse of ƒ.

ƒ(x) = x⁻⁵

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THEOREM 2 Derivative of the Inverse Assume that f is differentiable and one-to- one with inverse g(x) = f(x). If b belongs to the domain of g and f'(g(b)) #0, then g'(b) exists and g' (b) = 1 f'(g(b)) 3