Consider the graph of f(x), the derivative of f(x). Find each of the following: You must use interval notation as needed. Use a comma to separate answers as needed. If a question has no solution, type none for the answer. y = f'(x) -5 -4 -3 -2 1. f is increasing in the interval(s) 2. f is decreasing in the interval(s) 3. f has a relative maximum at x = -2 -3 4. f is concave up in the interval(s): 5 Ay 4 3 2 1 6. f has inflection points at x = -5 5. f is concave down in the interval(s): 1 2 3 4 LA

Q: g(x) = %3D I+3 32C

A: Derivatives

Q: f(x) = 3x² - 5x+21

A: SOLUTION-

Q: 1. Find the domain and derivative for the function f(x) = 327

A:

Q: If f(x) = 5x² – 2e*, find f '(x).

A: Given that  f(x) = 5x2 - 2ex  We need to find f'(x) and f"(x) . Now , f(x) = 5x2 - 2ex  So,   f'(x)…

Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

A:

Q: f(x ) = x -3 х 2—9

A: Simplify the function then take derivative and draw the graph.

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o,…

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Q: Find f"(x). f(x) = (x? +7) °

A:

Q: Find f'(x) and f"(x). f'(x) f"(x) f(x) = X +² 9

A: Given query is to find indicated derivative .

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Q: 2. Find the slope of the graph of the function f(x) = 9x² - 4x5 at x = -1. Show your work using the…

A:

Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: The graph of the derivative of a function is given. y For which x is the (original) function…

A: The graph of the derivative (f') of the graph f is given. Now, the original function f is increasing…

Q: 2. Which of the following represents the derivative of the function: (1 Point) 2ty %3D

A:

Q: Graph the first and second derivatives of the given function: f(x)= x3+ 2 x2 - 3x

A:

Q: f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Graph the…

A: a) fx=x2+2x+1 Now, f'x=2x+2 Graph is,

Q: r (4x2 – 3x + 5)* - 3.) c(x) = %3D sin x

A: solution:- find the derivative by using the quotient rule

Q: b) Find out whether the following functions are odd, even or neither: i. 2x-5x+7 ii. x'+x*

A: Given:i. 2x5-5x3+7ii. x3+x4

Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

A:

Q: Find derivative

A: Given, f(x)=2x+3

Q: 22. For each function graphed below, sketch the graph of its derivative. 6f(x) 24 -3 2 a) Before it…

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Q: Find any relative extrema of the function f (x) = x³ - 3x². Then, sketch a graph of the function.…

A: Let f(x)= x3-3x2. We need to find the extrema of the function by using first derivative test and…

Q: 5x Use the derivative to find where the function is increasing y = X+1

A: