Question 22Find the second derivative of the function f(x) = x² - 3x and choose the correct answer.(Hint: Look at the example 1 in page 2 of the note of section 2.5).O f'(x) = 12x - 3Of"(x) = 4x³ - 3O f'(x) = 12x²O f'(x) = 12x - 3ターF2F3#3F4$4W E RF5%50 +F6TQ614₂₁F7YF8&7UF9G8

To find the second derivative of the given function.

Answered: Question 2 Find the second derivative…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Please answer this question correctly in 10 minutes and get the thumbs up please show neat and clean work
The first derivative tells how fast a function is changing. That is, for a function f(x) and value x = a, f'(a) tells us how fast the function is changing at x = a. What does f"(a) tell us? Your answer should not be more than two sentences.
In this question, you will sketch the graph of the cubic function below. f(x)= 2x^3 + 12x^2 -270x The derivative of this function can be shown to equal f'(x)= 6x^2 +24x -270 This derivative can be factored as follows: f'(x)= 6(x+9)(x-5) The second derivative of the function is given by f"(x)= 12x + 24 (a) At what two values of x does the derivative of f(x) equal zero?(Enter the smaller solution in the first box and the larger solution in the second box.)Smaller solution : Larger solution : (b) Which of the following descriptions apply to the function f(x)? (Check all that apply.) f(x) is decreasing on (5, infinity) f(x) is increasing on (-9,5) f(x) is decreasing on (-9,5) f(x) is increasing on (-infinity,-9) f(x) is increasing on (5,infinity) f(x) is decreasing on (-infinity,-9) (c) At what value of x does the second derivative of f(x) equal zero?x : (d) Which of the following descriptions apply to the function f(x)? (Check all that apply.) f(x) is concave downwards on…
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QUESTION 6 (+1 If f(x) = 1 + 4* * ' , what does f(2) equal?

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Question 2 Find the second derivative of the function f(x) = x² - 3x and choose the correct answer. (Hint: Look at the example 1 in page 2 of the note of section 2.5). O f'(x) = 12x - 3 Of"(x) = 4x³ - 3 O f'(x) = 12x² O f'(x) = 12x - 3