ns Question 1 alendar eet lim 3x x+5' Evaluate ve O 3 O 00 O 1 Question 2 Differentiate the function f (x) = 6x³ – 9x + 4. %3D O 12x2-9x O 6x? - 9 O 18x - 9 O 18x2 -9 身 8.

Q: Question 1 ( Use the First Derivative Test to find the local maximum and minimum values of the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the limits in Exercises 41–54.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

Q: EXAMPLE 3.1.1 Find the equation of the tangent line to the graph of f() = x² at z = 2 . Solution m =…

A: We have to find the equation of tangent.

Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where ke R and k> -1, is: a) - (k+1)^0.5…

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Q: To Sketch the Graphs of functions using Derivatives. Problem. Consider the function f(x) = 8x - x…

A: Follow the procedure given below.

Q: QUESTION 2 Let f(x) be a function with second derivative of f"(x) =(x+8)(7x –11)(x – 13). Determine…

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Q: 4/5elue f(X)= X'-2X- 5 Using Secant methed, Cerreet apto 2decimal elases.

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Q: Suppose we are given the data in the table about the functions f and g and с. their derivatives.…

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Q: (3 +x if x < -1 if -1 sx< 1. (2 - x if x 2 1 Let f(x) = {x2 Sketch the graph of f. y y 3 -3 -2 -1 1…

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Q: There exists a field that is populated with a large amount of sunflowers. The amount given in time t…

A: Consider the given equation, y(t)=10004+t-12πcosπ6t   Find the derivative of the function.…

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A: Here first we have to find the critical points of the function on given interval by solving f'(x)=0…

Q: Question 3 3x² + 5x + 2 Let f(x) 2x² + 71 4 This function has: 1) A y-intercept at the point 2)…

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Q: Step 1 Apply the Definition of Tangent Line with slope m, f(e + Ax) - (c) lim Ax - -6 Ax to the…

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Q: IV. Discuss the continuity of the following function at the indicated point(s): ex-1 if x # 0…

A: Given : fx = ex-1log1+2x    if x≠0        12        if x =0

Q: 11. Suppose a function is defined so that it has derivatives f'(x)=x²(1–x) and S"(x)=x(2-3x). Over…

A: Given that, the derivatives of a function f is defined asf'x=x21-xf''x=x2-3x We need to find the…

Q: 5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the…

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Q: Question 2 [" Note: please I need solutions by handwriting a. I Find the critical points of the…

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Q: Question 5 Find the derivative [f(x)]; f (x) = 3 ln (In (x²-3x + 5)²). O3(2x-3) ²-3x+5 3(2x-3)…

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Q: True or false: The maximum value of the function y = -2 cos x + 5 is 7.

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Q: 2hx + h“ 4. Find lim h→0 h А. 2х В. 2х +h С. 2 + h D. 2h 5. If f(x) = 2x – 1, what is f(x + h) –…

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Q: Find the function with the given derivative whose graph passes through thế polnt P. f (x) = 2x – 3,…

A: Given function: f'x=2x-3 And passes through the point P3,4

Q: nestion 6 Researchers have observed that the daily energy requirements of female Collies who are at…

A: Here we will find the total energy required for female collie between her second and fourth birthday…

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: given: f=x3y2-yx+lnx to find:fyyxxx

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of fx=x is given. The equation for the left side of the graph is y=-x and the equation…

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of f(x)=x is given

Q: Part 1.Find the dimensions of the rectangular box having the largest volume and surface area 24…

A: 1 Surface area of the rectangular box =24 square unitLet length of the rectangular box be l width of…

Q: True or false: The maximum value of the function y = -2 cos x + 5 is 7.______

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Q: Differentiate the following function Y=ln(x^2-1)/(3x+2)^2

A: Derivative of logarithm function

Q: Draw simple graphs of the first and second derivatives of the function y = f(x) whose graph is given…

A: Given,

Q: Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x 2. f'(x)for f(x) = In x³. 3. a. f'(x)…

A: As per guideline we have to solve three question

Q: Along the path x = ey find lim (1,y)→(1,0) y²-6zy 3r-y-3 does not exist O 3 0 2 0 -3 O 2 0

A: Find limitx,y→1,0lim y2-6xy3x-y-3calculate limit along the curve x=eyconcept:- convert limit in one…

Q: 1-e2x 10. lim X0 1-ex x2-3x-28 4. lím エ→アーx-14x+49 11. lim In(x sin x) ズ→0 5. lim V2x + 1T ズ→4 12.…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Two business students at Brock University decided to open a small company together to sell their own…

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Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

A: The given problem is to find the minimum value of the given function using the first derivative…

Q: Answer the following questions about the function whose derivatives are (a). What are the critical…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Question 6 2 Using mathematical definition of derivative, which of the following statements is true…

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Q: 1. Sketch the graph of the function 4x f(x) = x E (-00, 00) 1+4x² Be sure to calculate the local…

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Q: The function ff has a continuous second derivative, and it satisfies f(1)=2f(1)=2, f′(1)=0f′(1)=0…

A: Given: f(1)=1, f'(1)=0, f'(1) = 2 A critical point of a function occurs when the first derivative…

Q: This function 6x° +33x-30x + 100 has three critical points. What are they? O 3/5, 5/3 and 0 3/5,5,…

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Q: 2. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = - x,…

A: Given: The graph of function fx=x as To determine: The complete table  Using left side of function…

Q: 3, x21 Graph the piecewise linear function f(x) = -1-x, x<1 OB. OD. OA.

A: Note: We know that piecewise function is a function defined by multiple sub-functions, where each…

Q: Question 4 222- lz -3 | Let f(z) = 3z2+ 13z + 4 This function has: 1) Ay intercept at the point 2) x…

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Q: QUESTION 4 Explain WHY Rolle's Theorem can or cannot be used to state that f '(x) must be equal to 0…

A: Solve for value

Q: Question 3 Algebraically compute f'(1) using the definition of the derivative, given that f (x) = x2…

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Q: 5. Find a function f(x) whose derivative is f'(x) = +1. (Hint: (x + 1)/x=1+1/x)

A: 5) derivative of a function is given, to find the function we have to find the anti derivative of…

Q: Conclusion [Select] [Select] Question 2 7 pt = r2 - 4x+1 Determine the critical number of the…

A: Critical number is a number if it makes the derivative of the expression equal zero

Q: Show that (4, 5) is on the graph of f(x) = 2x + 1. Since f(4) = 5 the point (4, 5) is on f(x). %3D…

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Q: 3. Example 3. Determine how large the number a has to be so that the 1 z dx is less than or area…

A: We have given

Q: 2. Is it possible for a function f(x, y) to satisfy both f(1, 2) = 5 and f(0,0) = 5? If yes, gi- an…

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Q: Question 6 2 Using mathematical definition of derivative, which of the following statements is true…

A: