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Find the derivative of the following : (by first principles) (i) f(x) = x^3 - 27

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Find the derivative of the following : (by first principles)

(i) f(x) = x3 - 27

(ii) f(x) = (x - 1) (x - 2)

(iii) f(x) = (x + 1)/(x - 1)

(iv) f(x) = sinx

(v) f(x) = cosx

(vi) f(x) = tanx

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(i) f(x) = x3 - 27

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