Calculate the root of the function f (x) = e ^ x cos x between -5 and +3 by the Newton-Raphshon method. In the table you have created, take your first guess (where n = 0) '1 and make the margin of error 10 ^ -6'. x0 = 0.1 x1 = 1st guess x2 = 2nd guess x3 = 3rd guess x4 = 4th guess x5 = 5th guess If you sort your predictions in the iteration, what is the 2nd predictor value to x2?

Q: Iff(x) = 3 x- 2 x, find f'(x)

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Q: Using the figure below, where f' (3) = 2.1.f' (6) = 3.0,f' (9) = 3.7,f' (12) = 4.2, find (f-1)'(12).…

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Q: Find the indicated derivative or integral a. D, (3** * ) c. D, log,, (x³ +9) –3x а. D, b. |x 2* dx…

A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x =…

Q: Differentiate the function y= In (8x-9x +2). %3D %3D y'%=D

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Q: 5 If f(x) = 3 + + X Find f'(5). 5 x2, find f'(x).

A: If f(x)= 3+5/x +5/x2  Find f'(x) and f'(5).

Q: Estimate

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Q: A student takes the derivative of the function f(x) = as follows: d 1 d 2()-(x)--(~)--22 dx dx…

A: Given a solution of derivative  of a function.

Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

Q: d dx f(x)=sina, f(0) = 7.

A:

Q: Plot 1 Plot 2 2. y2=xsin(x) 2.

A: To sketch the graph of a function using MATLAB, "plot" command is used. To arrange the figures side…

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: For the function f(x) = , find f'(x). 4x 7-x' f (x) = Answer: %3D

A: The given function is: fx=4x7-x      .....(1) To find the value of f-1x

Q: 2 x´ + 8)(6y – 1) = 0 find the third derivative

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Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

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Q: If y = csch4 2x°, find the 1st derivative a. 20x*csch42x° coth 2x5 b. -40x4 csch4 2x° coth 2x c.…

A: Some derivative formulas: ddx(f(x)g(x))=f(x)ddxg(x)+g(x)ddxf(x) ddx(u(v(x)))=u'(v(x))ddxv(x)…

Q: Iff(x) = 3 xe", find f'(0)

A: We find f'(x) using product rule

Q: Step 1 If f(x) then f '(x) x² – 4 (x² – 4)'

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Q: f (x) = (coshx)4* Find f'(0)

A: We have to find the following

Q: For each problem, find the function f based on the information given. 13. f'(x)=√x(6+5x) 14.…

A: 13) Given:  f'(x) = x6+5x ⇒f'(x) = 6x12+5x32 Integrate both sides with respect to x we get

Q: Differentiate the following function. = VP + 2V7 u = u'(t) =|| I

A:

Q: (10 points) Find the equation of the tangent f (x) = 4x – 8Va at z = 16.

A: topic - equation of a tangent line

Q: Integrate xtanx with respect to x

A: We have to solve this integral by  Integration by parts rule, Formula is  ∫uvdx=u∫vdx-∫u'∫vdxdx