Problems 5 – 6, Use the graph of the f' to sketch the graph of f and the graph of ƒ". 5. V b y = f'(x) 6. a b

Q: If ƒ(x) ƒ'(x) = - 53 x - 7' what's f'(x)?

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Q: 2. Sketch a graph that possesses the characteristics listed. f'(-2) = 0 f"(-2) 0 f(1) = -1 f"(4) =…

A: The graph has the following properties, f'-2=0f''-2<0f-2=4f'1=0f''1>0f1=-1f''4=0f4=2 We have…

Q: (a) State the values of x for which f'(x) does not exist. (b) Sketch the graph of y = f'(x) on the…

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Q: Sketch the graph of f' assuming the graph below is f.

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Q: Use the graph below to determine the slope of the tangent line to y-f(x) when x=1. (2,5). 4 3 y-…

A: We can use the concept of Straight line in order to solve the given problem.

Q: 1. What is chain rule differentiation?

A: Query- What is chain rule differentiation? Answer- Chain rule differentiation is the rule to find…

Q: 4. Sketch the graph of a function for which ƒ'(-2)>0, ƒ"(-2)0, and f"(4)>0. 6 Y -2 f(x) 2 + 1+ -1+…

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Q: The graph below shows y=f(x) (red graph) and y=f '(x) (blue graph) as indicated. Find the equation…

A: Given: To Find: To find the equation of the tangent line to .

Q: nE What is n in I = nr + R -R 72 Ir- E -IR Ir E IR Ir + E

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Q: POSTTEST ding the derivatives of a function. (10pts) 1) f(a) = 5 %3D 2) f(a) = -2x %3D 3) f (x) =…

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Q: The graph of y = f'(x) is shown. 10 9 -8- 7 6- 5 4 3 2 1 10-9-8-7-6 फं A -2 -3- -4 -5 -6 -7 -8 9 10…

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Q: Consider the graph of f. 4 3 y + 1 2 3 4 5 6 7 8 9 +X Determine the correct statement(s) about…

A: The only correct options are:   Option a, c and d. else all options are…

Q: QUESTION 3 Provide the slope of the line tangent to f-(x) at the point (-2,1) where f(x)= x5 +2x³ -…

A: slope of tangent line on  f-1 (x) is the derivative of f-1 (x) at the given point .

Q: Using the first deivative test to find the location of the local maxima of the following function…

A: Given: f(x) = x3-3x2-9x-1.

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 8 + 7 6 5 4 3 2 1 8 -7 -6 -5 -4…

A: f'(x) is same as slope of a line

Q: 6. a) Determine the slope of the tangent to the curve (shown in the picture) at the point whose…

A: Given curve is g(x) = 5x.

Q: 4.1(2) Determines the equation of the tangent to the graph representing (shown in the picture) whose…

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Q: Puestion 4. Using the definition of the derivative, show that f(x) = ifferentiable at x = -3. |2x+6|…

A: we have to show

Q: 46. Slope of a Curve Find the slope of the curve y = x - x - 2 at x = a.

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Q: 24. f(x) is a function such that f*(x) > 0 for x =0 and f"(0) is undefined. Sketch 2 different…

A: If f′′(x)>0 for x≠0, it means that the second derivative of f(x) is positive everywhere except at…

Q: 13. Question: If f(x) is a position function, how could we describe f'(x) and f"(x)?

A: we have f(x) as positional function.

Q: 14-16 Make a careful sketch of the graph of ƒ and below it sketch the graph of f' in the same manner…

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Q: f(x) %3D 2(5 - х)2, (1, 32) f '(1) =

A: to find the slope of the given function

Q: Sketch the graph that possesses the characteristics listed below. f'(- 1) = 0, 1"(- 1) 0, 1(3) = -…

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Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) 9(x) = g(x) 10 8- f 4. 2 -2 2 4 10 (a) Find p'(1).…

A: We will find out the required value.

Q: y=x²3x (Ans. x-35 (xln 3+2))

A: find the derivative of the function

Q: Σ orange black blue ☐ orange blue black 5. The figure below shows the graphs of f(x), f'(x), and…

A: 5.) The blue curve represents the graph of f(x) because it exhibits the most continuity compared to…