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Exercise 7.5.3 (i) Show carefully that the derivative of f(x) = arccos(x) is given by f' (2 ) = - V1 -22 (ii) For a
Exercise 7.5.3 (i) Show carefully that the derivative of f(x) = arccos(x) is given by f' (2 ) = - V1 -22 (ii) For a > 1, find the derivative of g(x) = a". Hint: Express g as a composite function constructed from elementary functions whose derivatives we know. (iii) Using your answer to part (ii), find the derivative of g (x) = log.(x)
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