The following table is generated from the function f(x)= sin x +2x². 0.5 1 1.5 2 f(x) 0.9794 2.8415 5.4975 8.9093 Comparing 2-point forward difference, 2-point backward difference and 3-point central difference, investigate which method gives the highest accuracy in approximating f'(1.5).

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

Q: Given the function f(x) = x³ - 3x², find x for which f'(x) = 0 1 2 2 x = 0; x = 1 4 x = 0; x = 4 3 x…

A: Given : f(x) = 1/2x^3 - 3x^2             Because f(x) = y               Now we derivative f(x) with…

Q: Compute the derivative of the given function. f(x) = 6x" + 3.9a6.7 + 76.7 Note: Use pi for T in your…

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Q: If f(x) = 21, find f'(– 10).

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Q: When I was considering what to do with my $10,000 lottery winnings, my broker suggested that I…

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Q: Use three-point midpoint formula to evaluate the first derivative of y = cot(x) at x = using a value…

A: We have to evaluate the first derivative of y=cotx at x=π2 using a value of h=π4 by using…

Q: 11 at x = 10 Find the derivative of f(x) = f' 10 |(Type an integer or a simplified fraction.) %3D

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Q: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

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Q: If f(x) = 6x² - 6x +1, find f'(1). f'(1) = (Simplify your answer.)

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Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

A: Numerical differentiation is nothing but to approximate the changing in the function value with…

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: Use the definition of the derivative to find f'(x) for the following function. Include all of your…

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Q: b. Determine whether the statement is true or false and justify your answer. Determine which of the…

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Q: 4х + 8 If f(x) = find: 5х + 4 f'(x) = f'(1) = (round to FOUR decimal places)

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Q: Use forward, backward, and centered difference approximations to estimate the first derivative of…

A: We are given the function f(x)=5x5+3x3+2x+1 and the step size as h=0.5. As we are given no…

Q: Use forward and backward difference formula with h = 0.1 to approximate the derivative of f(x) =…

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Q: If f(x) = 4 sec(5x), find f'(x). ес

A: The function is fx=4 sec5x

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: derivative

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Q: This is just another one of the practice questions on my optional study guide.

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Q: Given f () = 7z - 5 and f'(-3) = – 3 and f(- 3) = -1. Find f'(z) 95 5x- 2 - and find f(3) =

A: Given, f"(x)= 7x-5 f'(-3)=-3 f'(-3)= -1

Q: Given that f(x) = x¹²h(x) h(-1) = 2 h'(-1) = 5 Calculate f'(-1). | Hint: Use the product rule and…

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Q: Use the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

Q: f(x) = xV 3 - x² — х

A: Solution: The objective is to find the derivative of the given function

Q: Use forward and backward difference formula with h = 0.1 to approximate the derivative of f(x) =…

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Q: Find the derivative of the function below: 4 f(x) + 1600 In(3 x7 x8 f'(x)

A: Given : fx = -4x7-5x8-6x9 + 1600ln3