f(t) 1 10 2 55 Given this limited data, what is the best estimate for f'(2)? 3 80

Q: 2. The normal line slope of f(x) = (a - 1)x² + 3x - 2 is GIN at x=-2, a=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the most appropriate three-point formula to determine approximations that will complete the…

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Q: Let f(x) = Find f'(x). 3 5 f'(x) =O

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Q: 3. Find the derivative of g(r) = Do Not Simplify. +1

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Q: 1 If f(3) = – 3,f'(3) = 7, g(3) = and g'(3) = - 4, find the following function value. %3D %3D 3' (6f…

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Q: Find the average rate of change of f(x) = 9x- 922 5 on the interval 2, t|. Your answer will be an…

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Q: What is the relative error in estimating the first derivative of f(x) = 25x³ - 6x² + 7x - 88 at x=2,…

A: Solution

Q: Suppose that n = f(t) measures the number of bacteria in a controlled lab experiment t hours after…

A: According to question,  n= f(t) is the number of bacteria t hours after the experiment begins.…

Q: g'(x) -2 -1 -1 6. Given the (incomplete) table of values above, calculate the following (a) (ƒ o…

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Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: | f(x)dx = 12 and f(x)dx =3.1, then J f(x)dx =

A: Use formulas of limits of integration

Q: Q9 Given g(2) = 3 and g'(2) = 5. Evaluate f'(2) where f(x) = 5g(x) (a) 15 (b) 0 (c) 25 (d) 10

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Q: Use the figure below to calculate the derivative, h'(4) if h(x) = (f (x))*. (4.1, 7.3). f(2) (4, 7)

A: Derivative of and function at a point is slope of tangent of the function of that point.

Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: => f(x)= ∫ f'(x)dx

Q: 0. Suppose f(x) = 9x, what is f'(x)? a. 9x2 b.2x(9*)

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Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

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Q: If f(4) 7 and f'(4) = - 2, f(3.97) = %3D %3D

A: The linear approximation to the function f(x) at x=a is fx ≈ fa + f'ax-a

Q: (vii) If f(1) = 10 and f'(x) > 2 for 1 < x < 4, how small can f(4) possibly be? Give proper…

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Q: Solve the problem

A: The given function is:fx=x12To find f''x

Q: Find the derivative of f (t) = (9t³ – 8t2 + = (923 – 82. (6) 42 + 11

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Q: Given f(10) = 50 and f'(10) = 2 Approximate the following values f(11)~ f(9.5)~ ƒ(10.25)~

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Q: 5. Find the derivative of the function f(r) = (r² + 5)e %3D

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Q: 4. Consider f(x) = 6 + (x+3) ²/³. Find the extrema of this function using the first derivative test.

A: We have to find extrema by first derivative test.

Q: Find the following using the table below. 1 f(エ) f'(x) g(x) g'(x) 1 1 h'(2) if h(x) = f(g(x)) 43 31…

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Q: What is the value of f'(0) if f(x) = (x² – 2x – 1)i? %3D O Option 1 O Option 3 O Option 4 O Option 2

A: Given:  f(x) = (x2 - 2x - 1)2/3 To find: value of f'(0)

Q: Consider the table below which shows y = f(x). 1 3 4 2 1 3 5 (a) Calculate f(0). (b) Solve f(x) = 0.…

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