МАТ 115 1.Find the derivative a. f(x) =x' In x b. f(x) = (x'+x-1) %3D с. f(x) d. f(x) = 4e*- x 3D20 4x-1 e. f(x) = Vx² +4 2 е. f(x) %3D f. f(x) = In(8-3x) %3D g. f(x) = e-+In(2x-1) 3De

Q: y = In (x* + 5)³

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Q: 1. When an object is in free fall near the surface of the Earth, the only force acting on it is the…

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Q: The projected number of senior citizens in the U.S. for the years 1995 through 2030 can be modeled…

A: Given: Nx=0.03x2+0.315x+34.23x is no of years after 2000

Q: Find the derivative of f(z) = e2" (3z2- z)

A: Given, f(x)=e2x(3x2-x) Here, when we try to find the derivative of f(x), both chain rule and…

Q: Find the first derivative: y= ln v5x3 –- 2 5, O y = 222 %3D 523-2 O y' = 322 5z3-2 O y' = 622 5z3-2…

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Q: 1) Find the derivative of y =-+x-1 %3D

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Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

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Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

Q: 2. Determine the second derivative of f(x)= x'e* at x = -2 with a step-size of h=0.50 using Central…

A: Given function is f(x) = x2e2x and h = 0.50

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: Give an example of a function f (x) that has one  positive derivatives on the range (−1, 0) and a…

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Q: SW Solve for the first derivative of ,(x+5) x' +e x³ +e + Vx f (x) = V0.1 at x= 0.05 using FCD BCD…

A: f'(0.05)=336.6222-333.90350.008=2.71870.008=339.8375 App value of f'=339.8375 exact value of…

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

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Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: 5 Calculate the second and the third derivative of y = 6x – y": y"

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Q: find derivative       1. y = ln 3x + x    2. y = ln (t2)    3. y = ln (3/ x)    4. y = ln (u + 1) -…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: Calculate up to 2nd derivative the equation g(x) = -8sin (*+1) %3D

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Q: Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative…

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Q: Log Activity CALL l.y=log4 (3x2 -5x) In 9x4 2.y= 3.y= Inx3 X-5

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Q: Find the derivative of y = 4) G* eln sin-) y = G (In-x) sin + V4 – x2. x sin¬1 In sin + (Tx-1 1 y' =…

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Q: 3. Find the derivative of y = csc" (sec x), 0<x< 2n.

A: Given ddx(arccsc(sec(x))Let sec(x)=uWe know that ddx(cosec-1…

Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: How do I find the derivative of this problem?

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Q: 6 Find the 3rd derivative of y = (x-1)2

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

Q: 5. Find the first order derivative with respect to y of the function U = In/x² + y² + z²

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Q: 3. The derivative of f(x) = In x at x = 3 when h = 0.002

A: 3) To find the true error and relative error of the function: f(x)=ln x, x=3 &amp; h=0.002

Q: Suppose that the first derivative of y = ƒ(x) is y'= 6x(x + 1)(x - 2). At what points, if any, does…

A: The derivative of the function y=f(x) is y'=6xx+1x-2. We have to find at what points, if any, does…

Q: What is the derivative of y = e3 In(5 + e3)? %3D

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Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

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Q: A derivative in Leibniz notation is written as a fraction of differentials. A True B) False

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

Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: Compute the derivative of (ln x)^ln x

A: To find the derivative of (ln x)ln x Using the exponent rule ab=eb ln a we get, (ln x)ln x=e(ln x)ln…

Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: If a function is increasing everywhere (and it has a derivative), then it's derivative function is…

A: explanation of above question is given below,

Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…

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Q: 2) Use the Chain Rule to express the second derivative of ƒ • g in terms of the first and second…

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Q: 19. Determine the derivative of f(x) = e* coshx. O a. e2x O b. ex O c. e4x O d. e5x

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Q: 2) Use the Chain Rule to express the second derivative of ƒog in terms of the first and second…

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Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: 10.Anti-derivative of y(2y^2-3)^5

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Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…

Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…

Q: In x g(x) = 2

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.