a. Explanation Given : It is given in the question that the tangent line to the curve is y = x − x 3 and at the point ( 1 , 0 ) Concept Used: In this we have to use the concept of derivaties.We have to use the formula of limit lim h → 0 f ( a + h ) − f ( a ) h and the formula of s l o p e = f ' ( a ) . Calculation: (i) Slope at ( 1 , 0 ) = f ' ( 1 ) = lim h → 0 f ( 1 + h ) − f ( 1 ) h = lim h → 0 [ ( 1 + h ) − ( 1 + h ) 3 ] − ( 1 − ( 1 ) 3 ) h = lim h → 0 ( 1 + h ) − b. To determine Find the equation of the tangent line in part (a). c. To determine Draw the graph of the tangent line

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 3.1, Problem 4E

To determine

Calculate the slope of the tangent line by (i) using definition 2 (ii) equation 3 .

To determine

Find the equation of the tangent line in part (a).

To determine

Draw the graph of the tangent line

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Chapter 3.1, Problem 3E

Chapter 3.1, Problem 5E

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Chapter 3 Solutions

Biocalculus

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