Explanation Given: Statement as “The equation of the line tangent to f ( x ) = x 5 + 5 at x = 1 is y = 9 x − 3 .” Formula Used: Formula of derivatives are as follows: d d x ( c ) = 0 ,where c is a constant. d d x ( x n ) = n x n − 1 d d x c . f ( x ) = c . d d x f ( x ) Calculation: Function is given as f ( x ) = x 5 + 5 . Let us first find the point on function at x = 1 f ( 1 ) = ( 1 ) 5 + 5 f ( 1 ) = 1 + 5 f ( 1 ) = 6 Thus, ( 1 , 6

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 3, Problem 5SYU

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To find if the below statement is true or false.

“The equation of the line tangent to f(x)=x5+5 at x=1 is y=9x−3 .”

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Chapter 3, Problem 4SYU

Chapter 3, Problem 6SYU

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Chapter 3 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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To find if the below statement is true or false. “The equation of the line tangent to f ( x ) = x 5 + 5 at x = 1 is y = 9 x − 3 .”

Solution Summary: The author analyzes the statement to determine whether the equation of the line tangent to f(x) is true or false

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To find if the below statement is true or false.

“The equation of the line tangent to f(x)=x5+5 at x=1 is y=9x−3 .”

Want to see the full answer?

Chapter 3 Solutions

To find if the below statement is true or false. “The equation of the line tangent to f ( x ) = x 5 + 5 at x = 1 is y = 9 x − 3 .”

Solution Summary: The author analyzes the statement to determine whether the equation of the line tangent to f(x) is true or false

Videos

To find if the below statement is true or false. “The equation of the line tangent to f(x)=x5+5 at x=1 is y=9x−3 .”

Want to see the full answer?

Chapter 3 Solutions

To find if the below statement is true or false.

“The equation of the line tangent to f(x)=x5+5 at x=1 is y=9x−3 .”