23. The graph of the function f is shown in the figure to the right. For which of the following values of x is f'(x) negative and decreasing. (A) a (B) b (С) с (D) d (E) e a d e x

Q: 4x - 4 if x > 2 Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

A:

Q: 2. Given the following graphs of the first and the second derivatives of the function f(x) and the…

A:

Q: The graph of the derivative f' of a function f over the interval (0, 16) is shown. y y =f '(x) 10 12…

A: Given that: Graph of f'(x)     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: The following represents the graph of the derivative f'(x) of a continuous function.

A:

Q: 55. Suppose the graph of the derivative of a function f is as shown in Figure 7.7. On which…

A: Let f’(x) be the derivative of a function f(x) and g’(x) be the derivative of inverse of the…

Q: To Sketch the Graphs of functions using Derivatives. Problem. Consider the function f(x) = 8x - x…

A: Follow the procedure given below.

Q: 1 Suppose that f is a function given as f(x) = 3x We will compute the derivative of f at x = 4 as -7…

A:

Q: 7. (Refer to the graph of f below) This derivative value is the greatest among the given. 2 -4 -3 -2…

A:

Q: 4. The graph of f' (x), the derivative of f of x, is continuous for all x and consists of five line…

A:

Q: 1.2. Find the x-values for any points on the curve y =f(x) with horizontal tangents. 1. Let f(x) =…

A:

Q: 11. Suppose a function is defined so that it has derivatives f'(x)=x²(1–x) and S"(x)=x(2-3x). Over…

A: Given that, the derivatives of a function f is defined asf'x=x21-xf''x=x2-3x We need to find the…

Q: 5. Consider the function h(x) whose derivative h' (x) = 3x2Vx3 + 8. (a) Find functions f and g such…

A:

Q: On the number line mark the x-value(s) of the possible locations of inflection points on g(x) and…

A: Since you have asked multiple question, we will solve the first 3 subparts of the question for you…

Q: 45. Write a function of the form f (x) = A cos (Bx – C) for the given graph. y 3 57 6 3 6 3 6 3 -2-…

A:

Q: 4.x – 4 if x > 2 4. Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

A:

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of fx=x is given. The equation for the left side of the graph is y=-x and the equation…

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of f(x)=x is given

Q: 5. Below is the graph of f(x). Consider g(x) = | s(e) dt 3 4

A: Given The graph of fx is given. Consider gx=∫0xftdt

Q: 25. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: For the given graph of the derivative of f(x) . We have to find out which of the following is…

Q: 33. The line y = 2x - 6 is tangent to the graph of the twice-differentiable function f at the point…

A:

Q: 5. The function is decreasing everywhere and changes from concave up to concave down at x = -1 and…

A: The graph of the function. We have to check whether the given statement is correct or not.

Q: 3. Below is the graph of a function f(x) on the interval [0, 6]. Sketch the graph of its derivative…

A: Given the graph of f(x) on the interval [0, 6] To obtain is graph of f'(x)  on the same interval [0,…

Q: Suppose that a function f(x) has derivative f' (x) = g(x)+ h(x) for some functions g(x) and h(x).…

A:

Q: 5. Suppose that the function f has continuous first and second derivatives. The following table…

A: Consider the integral-∫13x(f''(x)) dx. Integrate using bypart formula- ∫udv=uv-∫vdu. Let u=x and…

Q: 8. Answer the following questions. (a) Sketch the graph of f'(x) by using the given graph of y =…

A: Given, Graph of f(x).

Q: The figure shows the percentage of the U.S. popul ati on, f(x), made up of teachers as a function of…

A: Given graph is,

Q: Find the function with the derivative f' (x) = 3 e ^5x whose graph passes through the point…

A: The function passing through the point P = f(x)=

Q: 1. Consider the function f(x) given by its graph at which the points C, E and H are the inflection…

A: Let's find.

Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = ((x – 1)² + 1)? O It is…

A: We have to find out the rule

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: given goaph of f'(x)

Q: 3. Let f be defined by f(x) = e* sin x. What is the slope of the line tangent to the graph of f at x…

A:

Q: 1. For the function h(x) whose graph is shown, find the values of x such that the derivative is…

A: (a)Given that,h'(x) &gt; 0Here, derivative is positive.When derivative is positive , the function is…

Q: 2. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = - x,…

A: Given: The graph of function fx=x as To determine: The complete table  Using left side of function…

Q: The graph of the second derivative of a function f(x) is shown at right. Which of the following…

A: Given graph is

Q: 5. Suppose that the function f has continuous first and second derivatives. The following table…

A: Given,

Q: Let f(x) = 25 x The slope of the tangent line to the graph of f(x) at the point (–6, – 25) is The…

A: All the answers are given below

Q: 6. let h be the function defines by h(x) = 2e*+tdt, Find h'(2) 7. let g be a function whose…

A:

Q: Let f(x) = 21 – x² The slope of the tangent line to the graph of f(x) || at the point (-4, 5) is The…

A:

Q: 4. The graph of f'(x), the derivative of a function f(x), is shown at right. Which of the following…

A: f(x) is continous at x=a f(x) is also differentiable as f'(x) exists at x=a ; Since f'(a) is not  0…

Q: 13) Identify the function for the graph at right. a) S(x) =x² -1 b) S(x) = 4(x+2)² –1 c) (x) =…

A: Given, The graph of the function We have to identify the function.

Q: ++ 1 7. The function y = f(x) is shown in the graph above. What is f(S(-2)) ?

A: We are given graph of a function , y=f(x) We need to calculate f(f(-2)) First we will calculate…

Q: 1) 2 a) Let f(x)=√x +4. Use the definition of the derivative to find f'(x). Find f'(5) by two…

A:

Q: 1. Consider the function f(x) given by its graph at which the points C, E and H are the inflection…

A: Let's find.

Q: - 3x* - Suppose that f is a function defined as f(r) : line drawn to the graph of f at x T + 2x – 5.…

A: Given that, fx=-3x4-x3+2x-5            ...(1)

Q: 1 Suppose that f is a function given as f(x) We will compute the derivative of f at a = 2 as 3x + 2…

A:

Q: 5 Let f(x) =x -e*. Find the value of x for which the second derivative f“equals zero. 2

A:

Q: 4. Consider the functions fand g whose graphs are given below. Find the following derivatives 7 y =…

A:

Q: 1. The figure below shows the graph of f', the derivative of the function f, on the closed interval…

A: Given