Power Function Derivatives Matching -15x - 100x-11 -48x- 12 (-3* - 10:-10) 2x- 42

Q: DIRECTION: Show the complete solution in solving the critical values and the points of inflection of…

A: Given that a function y=x(x+3)2. We find its critical points and inflection point and concavity and…

Q: Find the critical points then sketch the graph of the function below. Provide the first derivative…

A: Derivative test for maxima and minima: A point x=a is said to be a critical point of a function…

Q: finding the local mins and maximums and the intervals of increase and decrease and making a sign…

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Q: 2- 3x- 3X- %3D

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Q: When solving a first derivative test, a student calculates the following information. Help them list…

A: x=-3 and x=8 are critical points mean on these points there are local extremas. Given that:…

Q: y Domain: x+4 7. f(x)=- Range: 3 End Behavior: As x→0, f(x)→ As x→-∞, f(x)→ y-intercept: Asymptote:

A: As per our guidelines we are supposed to answer one question , kindly upload the remaining questions…

Q: *Introduction to Derivatives (x²+2x-3 Using the 3 conditions, show that f(x) = 4 if x#1 is both…

A: Differential function is always contious bt Converse is not true

Q: 10. We are going to fence in a rectangular field. Starting at the bottom of the field and moving…

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Q: . Chain Rule Suppose that f(x) - * and g(x) - |x|. Then the compositions (f• g)(x) - |x| - and (g…

A: Let  f(x) = x2 and g(x) = x.Then      (f∘g)(x) = x2…

Q: Derivative. The derivative of e-3 h(x) e(3x2 + 13) 4 + is none of the other answers e-3(-3)(4 +…

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Q: Using the First Derivative Test Consider the function         ƒ(x) = 3x4 - 4x3 - 6x2 + 12x + 1.a.…

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Q: x(z – 2y)100 = yz + x; Yx and x,.

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Q: Function Derivative \text { a. } f(x)=x^{3}-4 x+5 \quad f^{\prime}(x)=3 x^{2}-4

A: (a) Here given function fx=x3-4x+5

Q: Assignment No. 2: Determine the derivative of the ff. functions 1. y = 6x4 + 7x3 - 8x² + 9x - 10 2.…

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Q: Using the process shown in this unit, sketch the function y = 2x3 - 3x2 - 11x + 6, labelling all key…

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Q: 3x2-5 Determine the second derivative of the function y = 2x2+7 62 (7 — бх?) A (2x² + 7)³ 62x B (2x²…

A: Use the u by v rule and then evaluate the answer.

Q: First and second derivative test? y=x2-9 Numerator      x-5   Denominator Quotent Rule…

A: To find the first and second derivatives of  y=(x^2-9)/(x-5)

Q: Let f (x) - (x + 4)(8 - x). Use the First or Second Derivative Test to find the relative extreme…

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Q: f(x) = 2x-3/4

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Q: for the function find the relative maxima, relative minima, and horizontal points of inflection.…

A: given function, y= fx=13x3+x2-24x+15we have to find the relative maxima, relative minima and…

Q: Let f (x) - (x + 4) (8 - x). Use the First or Second Derivative Test to find the relative extreme…

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Q: 5. A rectangle is bounded by the x- and y- axes and the graph of y= 12-3x as shown. Find the…

A: Use first derivative test

Q: What is the general Chain Rule? What form does it take for functionsof two independent variables?…

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Q: Using the first and second derivatives, sketch a graph for y=x^2-4x+10

A: Given equation  y=x2-4x+10 Apply power rule to find first and second derivative f'(x)=2x-4f''(x)=2…

Q: iestion 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400…

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Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x) for thefollowing functions. ƒ(x) = 3x3 + 5x2 +…

A: the given function is: f(x)=3x3+5x2+6x we have to find f'(x), f''(x) and f'''(x).

Q: the derivative of f(x) = (2+ 3x)² (5x² – 3)ž

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Q: Derivative: Long Method(limits). Evaluate x=1/2 t^4 - 5t -3

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Q: h(x) = 4/((x-1)^2) Show from the definition that the function h(x) = 4/((x-1)^2) is increasing in…

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Q: linear function that contains the points (3,9) and (12, 12). point-slope form: slope-intercept…

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Q: Critical points for the function x^1/3 + x^4/3

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Q: Traph the function by finding any asymptotes, intercepts, first and second derivatives,…

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Q: 3(2x − 1)^3 + 4 find x and y intercepts intervals they are increasing/ decreasing and behavior such…

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Q: A function has the derivative f'(x) = 3x2 - 7x + 2. What are the stationary points of f, and their…

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Q: QI: Find the value of the constant K if the function is continuous at x-2.

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Q: Bonus: Give an example of a function with domain [0,1] and range consists of [-1,1] and (2,3)

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Q: f(x)=x4+2x3-72x2+36x-9    f'(x)=4x3+6x2-144x+36    First derivative test f''(x)=12x2+12x-144…

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Q: Find where it increasing and decreasing x^5-2x^4+3x^2-5x+

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Q: First Derivative Error f(x,.,) – f(x,-1) 2h f'(x) = O(h) -f(x,2) + 8ƒ (x,1) – 8f(x,-1) + f(x,2) 12h…

A: The given function is, f(x)=lnx and the step length is h=0.01

Q: Partial derivatives graphically is define as ) The derivative of the whole thing O The 2D slope of…

A: Partial derivative represents the 2D slope of the slice of a 3d graph

Q: Range: 4f)--(* + 1) - 2 Parent Function: Transformation: Domain: Range:

A: First simplify the given function then here parent function is x^2. So draw the graph of x^2. And…

Q: x² -4 %3D x2+1 Given the function: f(x) =

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Q: Function:  f(x) = x/(x2-1)   Use the second derivative to discuss concavity. The second derivative…

A: Given, f(x)=xx2-1we have to use the second derivaive test to discuss concavity.the second derivative…

Q: calculus help Find and classify the local maximum and minimum values of g(x) = e(x^3/12)-x using…

A: Given:Here g(x)=ex312-xTo find:The local maximum and minimum values

Q: A function and its graph are given. Use the second derivative to locate all x-values of points of…

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Q: Find the slope of the graph of the function f(x) = /2x at (2,2). Then find an equation of the line…

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Q: Derivative 2. Use the chain rule to find the derivative of f(x) = (3x² – 9)-4

A: Given:

Q: A function and its first and second derivatives are given. Use these to find each of the following.…

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