f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

Q: d the second derivative of the functi =) = [3x° +6}* a. f" = 90x*(6+3x)ʻ(24+90x°) b. f" = 90x*(6…

A: We have to choose the correct answer from the given options according to the given information

Q: factor this derivative: 2/3x-1/3(x+4)2+x2/3 2(x+4). must show all steps

A: Solution -    Given equation -  f(x) = 23 x-13x+42+2 x23(x+4) = 0 f(x) = 2 x+423 x13+2 x23(x+4) = 0…

Q: Find the derivative using the Four-step rule f(x)=2x²-3x+4

A: let f(x) be any function then four-step process to computef'(x) = limh→0f(x + h) − f(x)h  by…

Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

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Q: Find the equation of the line that is tangent to the graph of f(x)=(3x+1)/(4x-3) at the point where…

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Q: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

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Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: Find the x-coordinates of all local maxima using the second derivative test. g(x) = 2° – 3x7 +2

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Q: Find the derivative of the funchion f(x)=9x-5

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Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: Find the third derivative of f(x) = 4x^3-6x^2+7x-1

A: We have to find the third derivative of  f(x) = 4x3 - 6x2 + 7x -1  First derivative of f(x) is…

Q: Find the greatest and least values of f(x) =x' –- 3x² +1 on the interval of [-3,2]

A:

Q: The graph of f(x)=2x^3+6x^2−144x+6 has two horizontal tangents. what are the positive and negative…

A: See the details solution in below

Q: Find the x-coordinates of all points where the graph of f(x) = 2x^3+9x^2-168x+21 has a horizontal…

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Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the anti-derivative F(x) of the function f(x) = 2x - 7 with F(2)=55- %3D

A: We have to find the anti derivative of the given function following the given condition. anti…

Q: Use the second derivative test to find the extreme values of the function f(x) = 13 -3z2-24x

A: Given: f(x)=x3-3x2-24x To find the extreme value of the function.

Q: 6. Find the absolute extrema of the function f (x) = 7x² + 1 on the closed interval [-1,2].

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: Can you please help me find the derivative of f(x)= (2x-3) / (x3-8x+9)

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Q: (B) Use the first derivative test to find the maxima and minima for f(x) = 3. 5z2 + 6x +9. 2.

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Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: What is the domain of g(x)=ln(25x-x^2) Show all the work.

A:

Q: Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0

A: Solution of given question is written in below steps.

Q: Find the derivative and simplify. f(x) = (x12 + 3x* + 5)(2x³ - 1) f'(x) = %3D

A: Some differentiation formulae: ddx(xn)=nxn-1ddx(c)=0  ; c is any consant value Given function is…

Q: Graph the function y =x + 1                                      x2+1 by applying the first and…

A:

Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A: Given,        fx=x2-3x+8

Q: Find the absolute extreme values of f(x) = 2x3 - 6x +3 on the interval [0, 3]. |

A:

Q: Find the smallest positive root for the given function by using the false position method with…

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Q: Find the higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

Q: Find the derivative. (with solution) f(x)=2x²-3x+5

A: The derivative of a function is given by the expression limh→0f(x+h)-f(x)h. For some standard…

Q: Find derivative of f(x) = x^4-7x^2+8

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Q: Find the second derivative of the polynomial functiony=2x5+3x4−4x3+x2−6.

A: Given Data The polynomial function is f(x)=2x5+3x4-4x3+x2-6.   Differentiate the polynomial function…

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x² – 4x + 3

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Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

A: