25. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and x = 2. There are horizontal tangents at x = -1.5 and x = 1.5. Which of the following statements is true? (-1.5, 13:1) -3.2 -2.4 -1.6 -0.8 -3 +19 11 +9 None of these is true. +7 0,8 1,6 /2,4 (1.5, -1.1) f is concave down from x = -3 to x = 0. f is decreasing from x = -1.5 to x = 1.5. f has a relative maximum at x = 1. 3,2

Q: The graph of a function is shown below. Select the graph of the derivative f'.

A: Given, A graph of the function We have to find the graph of the derivative of the function.

Q: Below is the graph of y = f'(x), where f'(x) is the derivative of f(x). + -3 -2 -1 1 2 3

A: Explanation:

Q: 나 in (군) +2 W= 5-8In(z)

A: we have to find the derivative of w with respect to z

Q: Write down the equation of any function g(x) for which the derivative does not exist at x =2.

A: Topic = Derivative

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: (a) Estimate the x-values of the critical points of f. (b) On what intervals is f increasing?…

A:

Q: y = ǀsinx ǀ Estimate and list out the values of x where derivative of this function does not exist

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Q: Given that h"(w) = -34. State the function that best describes h'(w). O a. h'(w) = -34w O b. h'(x) =…

A: Use the concept of power rule of derivative and select the option form given.

Q: 2. Find the derivative and the analytic domain of f(2) = 1+ %3D 22+1

A:

Q: The following graph corresponds to f"(x), the second derivative of f(x). If the graph does not…

A:

Q: 4. Find the slope of the tangent line to the graph f(x) = 3x² +4 at the point (2, 16) and determine…

A:

Q: Q3. Derive the following formula for approximating the derivative f": ƒ™" (x) ≈ (f(x +3h) − 3f (x +…

A: To Derive: f'''(x)≈1h3f(x+3h)-3f(x+2h)+3f(x+h)-f(x). To find: Big-Oh error term from the above…

Q: 5-x. Calculate the derivative of y with re

A:

Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. 23) b1 =| b2 and B =…

A:

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: Q2. Derive the following formula for approximating the derivative f": ƒ"(x) ≈ : (-f(x+2h) +16f(r+h)-…

A: To show:- f''x ≈112h2  -fx+2h + 16 f(x+h) -30 f(x) +16 f(x-h) - f(x-2h)

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Q: hen f has points of inflection when x =

A:

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A: