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Question -

Find the derivativeof the following functions from first principle

(i) x3 –27

(ii) (x – 1) (x – 2)

(iii) 1 / x2

(iv) x + 1 / x – 1



Answer -

(i) Let f (x) = x3 –27

From first principle

(ii) Let f (x) = (x – 1) (x – 2)

From first principle

(iii) Let f (x) = 1 / x2

From first principle, we get

(iv) Let f (x) = x + 1 / x – 1

From first principle, we get

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