The approximate value of f ′ ( x ) when f ( x ) = | sin x | if the function is differentiable at the point a = 0 .

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Answer 1

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

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Approximate the fixed point of the function to two decimal places. [A fixed point xo of a function f is a value of x such that f(xo) = xo.] (x) = cos x Part 1 of 4 A fixed point xo of a function f is a value of x such that (xo) = x0. To approximate the fixed point of the function x) - cos x, let g(x) = r(x) – x = COs(x) X. COS r Differentiate g(x) with respect to x. 9 '(x) =-sinx 1 sin r Part 2 of 4 To approximate the fixed point of function f, approximate a zero of g(x) = cos x - x. The iterative process of Newton's Method is given by the formula, cos Xn - Xn 9(xn) 9 '(Xn) Xn + 1 = Xn - = Xn - x, +1 - 1 sin an = Xn + COS Xn - Xp COs I. sin x, + 1 sin a Part 3 of 4 For n- 1, let x = 1.0. Now calculate the iterations and enter the values in the table below. (Round your answers to four decimal places.) g(xn) 9 '(Xn) 9(xn) g(xn) Xn - 9 (Xp) ) ("x), 6 1 1.0000 -0.4597 -1.8415 0.2496 0.7504 2 0.7504 -0.0190-1.6819 0.0113 3 0.0000 -1.6736 0.0000

The range of the function f(x)=2-sinx is: O a. [-1,3] O b. [-2,2] Oc. [-3,2] O d. [1,3] O e. [-3,2]

Answer 2

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

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Answer 3

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

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Answer 4

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

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Answer 5

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 6

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

Answer 7

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

Answer 8

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 9

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - Prob. 5E Ch. 16.1 - Prob. 6E Ch. 16.1 - Prob. 7E Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E

The approximate value of f ′ ( x ) when f ( x ) = | sin x | if the function is differentiable at the point a = 0 .

Solution Summary: The author explains that the function is not differentiable at a=0, but the value is -1and1 respectively.

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To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

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