4. The graph of a function f(x) is given below. 4. In the interval (-00, -3) a) f'(x)>0 and f"(x)>0 b) f'(x)>0 and f"(x)<0 c) f'(x)<0 and f"(x)>0 d) f'(x)<0 and f"(x)<0

Q: Property Interval f'(x) > 0 (-0,-2), (-2,0), (4, 6) f'(x) 0 f"(x) < 0 Asymptote at r = -2 and a = 2…

A: Given the properties of the function,  f'(x) &gt; 0  on intervals That means the graph of f(x) is…

Q: Sketch the graph of a function f having the given characteristics. f(2) = f(8) = 0 f'(5) = f(7) = 0…

A: The value of function f, first derivative (slope) f', and second derivative f'' at various values is…

Q: Given function f with f'(x)= 4-4x^2 / (x^2+1)^2 and f''(x)= 8x^3-24x / (x^2+1)^3 (a) Given the…

A: Given, f'(x) = 4-4x2(x2 +1)2  f''(x) = 8x3 -24x(x2+1)3 (a) If f is concave up then f''(x) &gt;0 So,…

Q: Q1/ Choose the correct answer: ( (1) The functions f. g and h are related by f(x) = g(x+1), g'(x) =…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Show the graph that satisfies all of the given conditions. Please explain your answer.  f'(-2) =…

A:

Q: 3. Use the graph of y = f(z) to sketch the graph of its derivative f'(x). -2 -1 16- 12+ 8 4+ ܕ <-4…

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Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) < 0 and f"(x) <…

A: ?If f'(x)&lt;0 then slope of the tangent of any point on the curve is negative. ?If''(x)&lt;0 then…

Q: 2. For the function, f(x), below, state the intervals of increase and decrease, the x-coordinates of…

A: The interval of increase: From the graph of the function, we can see that the function is increasing…

Q: 1’) Let f be the function f(x) = x^2 +36/x^2 (a) Calculate f'(x) and find all stationary points for…

A: Solution - Given function - f(x)=x2+36x2 a.)        f'(x)=2x+36-2x-2+1             f'(x)=2x-72x…

Q: Property Interval (-00,-3), (-1,0), (5, 00) (-3,-1), (0,5) f'(x) > 0 f'(x) 0 (-0,-3), (-3,0) f"(x)…

A: The requirement of the question is to draw the graph with the help of given information. The…

Q: Pls help ASAP

A: The given information:To Sketch: The graph of the function with above information.

Q: For the function f(x) = (3x + 5)4, find f''(x), f''(0), f''(2), and f''(-3).

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Q: Sketch the graph that possesses the characteristics listed below. f'(-7) = 0, f"(- 7) 0, f(- 3) = -…

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Q: (x) > 0 and f"(x) > 0 for all x y y y

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Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).

Q: Find the equation of the curve that passes through the point (7,3) if its slope is given by dy = 7x…

A: As per our company's policy, we can solve first question only. Please repost other question…

Q: y' = 8|x| = - 8x, x≤0 8x, x>0

A: To find y'' and graph the general shape of f(x), we first need to integrate the given expression for…

Q: Sketch the graph of a function that satisfies all of the given conditions. f(0) = f'(2) = f'(4) = 0,…

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Q: Let f'(x) = x³ - 9x² +24x +3.

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Q: Use the graph of y = f' (x) to fill in the missing information.

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Q: 3 5. If f(x) = and g(x) = 4*, find: X-4 a) f-¹(g(x)) b) the domain and range of f-¹(g(x))

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Q: Pls help ASAP

A: To Sketch: A graph of a function with the given information:f'(x)&gt;0 when x&lt;-2, and when…

Q: f(x) g(x) h(x) = ;a = 3 f(x) f'(x) g(x) g'(x) 0. 2 0. 2. -1 3. 7. -7 7. h'(a) = %3D 3, 2. 2. 5. 2.…

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