Question

Find the value of a so that $f(x) = ax^3 + 2x^2 + 2x + 1$ has an inflection point when $x = 1$ a = Guidelines for submitting numerical answers: 1. Only use numerical characters and decimal point. i.e. Enter the number without any units, commas, spaces or other characters. 2. Enter the decimal value and round your answer to 3 decimal places (if needed) using scientific rounding. 3. Enter \"INF\" for infinity and \"-INF\" for negative infinity.

          Find the value of a so that $f(x) = ax^3 + 2x^2 + 2x + 1$ has an inflection point when $x = 1$
a = 
Guidelines for submitting numerical answers:
1. Only use numerical characters and decimal point. i.e. Enter the
number without any units, commas, spaces or other characters.
2. Enter the decimal value and round your answer to 3 decimal places (if
needed) using scientific rounding.
3. Enter \"INF\" for infinity and \"-INF\" for negative infinity.

Find the value of a so that f(x) = ax^3 + 2x^2 + 2x + 1 has an inflection point when x = 1
a =
Guidelines for submitting numerical answers:
1. Only use numerical characters and decimal point. i.e. Enter the
number without any units, commas, spaces or other characters.
2. Enter the decimal value and round your answer to 3 decimal places (if
needed) using scientific rounding.
3. Enter ÏNFf̈or infinity and -̈INFf̈or negative infinity.

Added by Erica K.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Diogo Caetano

11/28/2022

Step 1

Given f(x) = ax^3 + 2x^2 + 2x + 1, the first derivative is: f'(x) = 3ax^2 + 4x + 2 Show more…

Show all steps

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Find the value of a so that f(x)=ax^(3)+2x^(2)+2x+1 has an inflection point when x=1 a= Guidelines for submitting numerical answers: Only use numerical characters and decimal point. i.e. Enter the number without any units, commas, spaces or other characters. Enter the decimal value and round your answer to 3 decimal places (if needed) using scientific rounding. Enter "INF" for infinity and "INF" for negative infinity. Find the value of a so that f()= ax3 +2x2+2+1 has an inflection point when x=1 a= Guidelines for submitting numerical answers 1. Only use numerical characters and decimal point. i.e. Enter the number without any units, commas, spaces or other characters 2. Enter the decimal value and round your answer to 3 decimal places (if needed) using scientific rounding 3.Enter"INF"for infinity and"-INF"for negative infinity