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Let f(x) x³ + 9x² - 21x + 20. = (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) = (b) Use the definition of a derivative or the derivative rules to find ƒ''(x) = For the next parts of the problem, used closed interval notation to enter your answers: (c) ¿On what interval is f increasing (or more specifically, non-decreasing)? interval of increasing = (d) ¿On what interval is f decreasing (or more specifically, non-increasing)? interval of decreasing = (e) ¿On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity= (f) ¿On what interval is f concave upward (include the endpoints in the interval)?

Let f(x) x³ + 9x² - 21x + 20. = (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) = (b) Use the definition of a derivative or the derivative rules to find ƒ''(x) = For the next parts of the problem, used closed interval notation to enter your answers: (c) ¿On what interval is f increasing (or more specifically, non-decreasing)? interval of increasing = (d) ¿On what interval is f decreasing (or more specifically, non-increasing)? interval of decreasing = (e) ¿On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity= (f) ¿On what interval is f concave upward (include the endpoints in the interval)?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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Solve both Questions accurately For Q6 just solve part c,d,e,f only . I will give u upvote.Thanks
Question 6 Let f(x) x³ + 9x² = > 21x + 20. (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) = (b) Use the definition of a derivative or the derivative rules to find ƒ''(x) = = For the next parts of the problem, used closed interval notation to enter your answers: (c) ¿On what interval is f increasing (or more specifically, non-decreasing)? interval of increasing (d) ¿On what interval is f decreasing (or more specifically, non-increasing)? interval of decreasing = (e) ¿On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity = (f) ¿On what interval is f concave upward (include the endpoints in the interval)? interval of upward concavity =
Transcribed Image Text:Question 6 Let f(x) x³ + 9x² = > 21x + 20. (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) = (b) Use the definition of a derivative or the derivative rules to find ƒ''(x) = = For the next parts of the problem, used closed interval notation to enter your answers: (c) ¿On what interval is f increasing (or more specifically, non-decreasing)? interval of increasing (d) ¿On what interval is f decreasing (or more specifically, non-increasing)? interval of decreasing = (e) ¿On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity = (f) ¿On what interval is f concave upward (include the endpoints in the interval)? interval of upward concavity =
Question 24 < > Use linear approximation, i.e. the tangent line, to approximate √81.2 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 81 L(x) = Using this, we find our approximation for V /81.2 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.
Transcribed Image Text:Question 24 < > Use linear approximation, i.e. the tangent line, to approximate √81.2 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 81 L(x) = Using this, we find our approximation for V /81.2 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.
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