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**Unformatted text preview: **0 = cos( x *) + 2 -x * so f ( x ) = cos( x ) + 2 -x b) Find the derivative of f ( x ) . f '( x ) = - sin( x ) - 1 c) Write the discrete-time dynamical system representing Newton’s Method for this particular example. (Hint: You should use part (a) and (b)) x t +1 = x t-cos( x ) + 2 -x- sin( x ) - 1 EXTRA CREDIT (2 pts) Evaluate the following integral cos( x ) + 3 x 2-p dx cos( x ) + 3 x- 2-p ( ) dx = sin( x ) + 3 x- 1- 1-px + c = sin( x ) -3 x-px + c...

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