Given that f(x)= e*. By taking h = 10-*, where k = 1, 2, find approximate values of f'(2.2) using (i) (ii) (iii) (i) (ii) (iii) 5-point difference formula. 2-point forward difference formula, 2-point backward difference formula, 3-point central difference formula, 3-point forward difference formula, 3-point backward difference formula, (a) (b) Do all the computations in 6 decimal places.

Q: Use the given information to find f '(8). f(x) = 5g(x) + h(x) g(8) = 3 and g'(8) = 2 h(8)= -2 and…

A: Given,f(x)=5g(x)+h(x).Given,g(8)=3 and g'(8)=2.h(8)=-2 and h'(8)=-6

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Q: Differentiate the function. f'(x) = f(x) = e5

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Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: Determine z for the following of a. (Round your answers to two decimal places.) USE SALT (a) a =…

A: a)α=0.0051

Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

A: Given: fx=3gx+hx.We need to find f'9.

Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: 2) What is the difference between f'(x) and f'(7) and how do you say out loud the expression f'(x)?…

A: Difference between f'(x) and f'(7)

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: Which derivative rule(s) was (were) usec f(x) = 2 e* + 7lnx - Vx3 1 7 f'(x) = 2 ex + 3. 4 4

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Q: Given f"(x) = -7x³ – 7a? + 7x + 10, f'(1) = 7, and f(1) = 5. Find f'(x) and f(x). Part 1: Find the…

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Q: 2 If f'(x) = 3x2 - and X f(1) = 0, find f (x)

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Q: find the derivative. y = ecos−1 x

A: Given: y=ecos-1(x)

Q: Find the second derivative (y") of the given function: 6. y 2-e -6e* +12e-e" (2-e*)" 6e* (2+e*)…

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Q: 1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value…

A: To find out the average rate of change of function on the interval.

Q: Differentiate the function with respect to the independent variable. 4x f(x) = In 9+ 5x? f'(x) =O…

A: We have to differentiate the following function: fx=ln4x9+4x2 Simplifying the function using…

Q: Which derivative rule(s) was (were) used to find the following derivative? Select ALL that apply.…

A: Given function is fx=3x2+5x4x3. We have to differentiate the given function. Used formula:-…

Q: or formula (**). (Answer: (a) Let f(x) = x² – 3x + 2. Find f'(4) using either formula (*) 5)

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Q: explain how to find the greatest values for f(x) and least values for f(x). given the f’(x) above…

A: we have to explain that how to find the maximum and minimum values by the help of the given…

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: 4 Find f'(- 4) if f(x) = 6х. 3 f'(- 4) = || |(Simplify your answer. Type an integer or a fraction.)

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Q: In the tables below, use the most accurate three-point formula (forward difference / back difference…

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