Consider the graph of f. 5 1 + 1 2 3 4 5 6 7 8. 9. Determine the correct statement(s) about f'(x). O f'(0.5) > f' (3.5) O s'(7.5) = f'(2.5) O f'(3.5) = f'(0.5) ロf(7.5) > f'(6.5) O f'(0.5) < f'(3.5) ロf(7.5)

Q: For the function f(x) = -3ex, find f''(x), f''(0), f''(7), and f''(-9). f''(x) = (Type an exact…

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Q: MTH 32 (16) Show that f is one-to-onc. Find (f-¹)'(a). Calculate f-¹. Find the domain and range for…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Sketch the graph of f' given the graph of f below. YA W. 0

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Q: Question 1 (10 Marks): Calculate of given function f(x,y) = ye**. əx²əy³

A: Definition used -       Partial derivative -             In partial derivative, we differentiate…

Q: Estimate f'(-12) using the data in the table. x -13 -11 -9 -7 f(x) 1.02 1.05 1.12 1.14

A: Given the tablewe have to find the value of f'(-12)

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A: Let's find.

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A: GivenThe graph of the derivative of the function is given in the question and also the function…

Q: is there an easy way to determine what function, on a graph is f, f' , and f''

A: I have given an answer in step 2.

Q: Determine the following function is differentiable F (z) = e¯²

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A: Explanation of the answer is as follows

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Q: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: a) f "(1) si f(x) = -3x² - 5x+7 b) f(4) si f(x) = x² + x² −x³

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Q: State the range of f(x)= {v=Ry>} b. ve Rly - } 3 a. 1 3x+4 C. {v=Ry>0} d. {ve Rly 0}

A: We can find the range as below.

Q: f'. 17. Use the graph of f' shown to graph f" and a possible graph of f. 4 6

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Q: 17. S(p) = /p - p %3D

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Q: The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-

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Q: For a function f , the divided-differences are given by X, = 0.0 f(x,) =? Sll = fo" = ? X, = 0.4 f…

A: The interpolation polynomials are used to find the values of the function inside the given range.…

Q: 31. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0 if x 4, f"(x) > 0 if 1 3

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Q: 6. Consider the DERIVATIVE f' graphed below. Sketch a possible graph of the original function f on…

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Q: The graph of f' is shown. Find the interval(s), if any, on which f increases. y =f '(x) -2 a) O(-0,…

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