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Q. 90

Found in: Page 200


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

The following reciprocal rules tells us hoe to differentiate the reciprocal of a function


Prove this using

a) definition of the derivative

b) by using the quotient rule

We prove the reciprocal rule using definition of derivative and quotient rule

See the step by step solution

Step by Step Solution

Step 1: Given information

We are given the reciprocal rule as ddx(1f(x))=-1[f(x)]2

Step 2: Prove using the definition

We have


Step 3: Prove using product rule

We have


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