table. differentiable functions f and g have the values shown in the x 0 1 2 3 18. If D = then D'(1) = (A) - 1/2 (B) – 3 2 1 3 5 10 234 8 5 853 1 0 (C) g' -4 -3 -2 -1 13 (D) 9

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

A: Explanation of the answer is as follows

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: Find the indicated value of the function f(x,y,z) = 4x - 5y² +8z³ - 7. f(4, -3,1) f(4, -3,1)=

A: Given,

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A: We have to take anti derivative to solve  for f(x)

Q: 19. (2 points) Let ƒ be an even function such that = 216 and f(x) dx = 240. Evaluate (2 - 2)5(#) dz.…

A: The given data is : ∫03fxdx=216  and  ∫-23fxdx=240 To find: ∫-22x-2fxdx…

Q: 2 6. For the function(x) = 2x² approximate the slope of the tangent line at (1,2)

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Q: Let F(u, v) be a function of two variables. Let Fu(u, v) = G(u, v), and F„(u, v) = H (u, v). Find…

A: Given that  F(u,v)  be a function of two variables such that  Fuu,v = Gu,v  and  Fvu,v = Hu,v (a)…

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

A:

Q: Which number is the value of F'(-2)? Review the table of values for function f(x). O -8 f(x) O -7 -2…

A: Given:  To find: Which number is the value of f-1-2

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

A:

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: ANSWER IN DETAIL

A: a.) Note: If the point P(0, -2) lies on the curve "y(x)", then, y(0) = -2. So, y(x) = 5x + 3sin(2x)…

Q: 1. Find f'(x), f"(x), and f(x) for the following functions. a. f(x) = (2-3x)5 b. f(x) = 2¹2 +324 c.…

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Q: 3. Consider the following table of values for two functions f and g: X 1 2 3 4 f(x) 2 4 1 3 f'(x)…

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Q: Find the composite function from the given functions. (2pts each) 3 g(x)= ; x+5 8. (f° g)(x) 9. (g°…

A: Given f(x)=1/(x+5) and  g(x)=(3/x)-5

Q: At what value of x does the function f(x)=x' -3r? -9x change from deceasing to increasing? 1 -1 Find…

A:

Q: W 9 O(A) and ronl Graph of f' 38. The graph of f', the derivative of f, is shown in the figure…

A: Given information:The graph of the function shown below is of  where  is the derivative of .To…

Q: 5. (Refer to the graph of f below) For what value of x is the derivative off equal to zero? 2 -4 -3…

A: Consider the graph

Q: 13.1 Functions of Two Variables 1. Find the domain and range of the function a) f(x,y) = x²e¬V9+I

A: Explanation of the answer is as follows

Q: 19. Derive the formula for the Product Rule for four functions. (fghw)' = f'ghw+ fg'hw+ fgh' w +…

A:

Q: Question 24 Find the derivative of y = 3 7 15 (3x²+2ax) (ax²-3r-a) 7 (2ax-3) 2 5(32²+2ax)…

A:

Q: Which among the de (18y 54y+ dy 5' (2y- 1)

A: Given that: dwdy=(18y4-54y3+90y2)(2y3-1)2+(2y3-1)3(2y-3)

Q: Which of the following functions is differentiable for all values of x? a. fAx) = 2r' + 5x² b.…

A: Given problem:-

Q: Let f(x) = (4x – 6)(x² – 5). Find all the values of x for which f'(x) = 0. Present your answer as a…

A: Given fx=4x-6x2-5

Q: (a) Sketch a graph of a function f such that: f' > 0 and f" 0 and f" > 0, for x > 3. (b) Does the…

A:

Q: LO KB allla the domain of f (x) = x²-4 is: x-1 [-2, 1) U [2, 00) O (-0, -2] U [2, 0)O [-2, 1) O [2,…

A:

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

A: