The functions f and g have the values shown in the table and are differentiable. If A = f g, then A'(0) = A. 0 B. 6 C. -6 D. / f 0 6 X f' 1 8 g' 1 33 1 4 -1 16 26 27 -8 2 8 3 -5 4 14 9 -3 6

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

Q: |an also converges because 0 If an converges then < lan|, for n = 1, 2, ... n=1 n=1

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Q: them to evaluate Ax) f'x) b. dx а. 3 -4 Ix=9 -2 9. 6. 0.25 6.

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Q: 4. (Refer to the graph of f below) For what value of x is f NOT differentiable? 2 -4 -3 -2 -1 4 1 2.

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A: Step:-1 Given function is  fx=2 x +1    x= -2 then, put x= -2 in f(x), we get fx=2 x +1f-2=2 -2…

Q: Please Answer Parts A,B,C,D,E for one question.

A: Using Rolls theorem and Lagrange MVT. Rough sketch of h'(x)

Q: If f(x) = 3 tan 1 x, then find the value of f'(5) is . %3D -5 26 3 26 3 26 26

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Q: Assuming f and g are differentiable functions, determine f'(2) = -7, g(2) = 8, and g' (2) = 4. (A)…

A: Given that f and  g are differentiable functions and f2=5, f'2=-7, g2=8 and g'2=4 We have to find…

Q: If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the…

A: This is a problem related to average and instantaneous rate of change of the function. Based on the…

Q: The functions f and g are differentiable and have the values shown in the table. If A = f + g, then…

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A: The graph is the geometric representation of the given partial sum.  This is also left Riemann sum…

Q: For items 17-19, suppose f, g, h are differentiable functions at a=3 with the given function values.…

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Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is…

A: Let's find.

Q: 2, f'(4)=2, f'(4)= -1 se correct graph below. OB. Oc. OD. Ay Ay Ay (4, 2) (4,2 (4,2) (4, 2)

A: Solve by using first derivative and second derivative

Q: 1.) Suppose a differentiable function has values given by the following table : 1.5 .5 6. 1 8 2.5 25…

A: Consider the given table of values of x and fx. We have to find the most reasonable estimate for…

Q: The graphs of f and g are shown below. If h(x)= f (x)g(x), then h'(6) = а. -9 b. -7 с. 1 d. 7 | | |…

A: First we difine the function help of given graph. And  we derivative of h(x) then we get h'(x) and…

Q: 11. Use the Vertical Line Test to determine if y is a function of x. 10- X gio 3:22 SOS

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Q: 7. If a side of an equilateral triangle has length x , express the area A of the triangle as a funct…

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Q: At x = -2 the function y = false O true 5 is differentiable but not continuous.

A: Any differentiable function is always a continuous function. However, a continuous function doesn't…

Q: 3. Let f(x) be a twice-differentiable function satisfying the following table of values. -2 -1 0 1 2…

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Q: 2. Determine if the following function is differentiable. x² +10, x <4 f(x) = 8x-6, x24 wwww

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Q: 4. Consider the graph of a polynomial function below. 2 1 -2 -1 2 4 x -1 -2 a) State the domain and…

A: As you post multiple questions According to guidelines I only solve the first one .