3. f(x) = /x, a = 4 =D4

Q: dy/dx if y=tan((1-2x)/(1+x)) dy/dx if y=x^4 ln(3x-1)

A: 1)    y=tan1-2x1+x2)    y=x4ln(3x-1) Hint:  Chain rule and then uv and u/v rule of differentiation

Q: d sinh x) = cosh x dx

A: By using hyperbolic functions definition, sinhx =ex-e-x2   and coshx =ex+e-x2

Q: Compute dy/dx for the function. y = sinh 2 8x O 2 sinh 8x cosh 8x O 2 cosh 8x 16 sinh 8x cosh 8x 16…

A:

Q: s.fx 5. x3 sin 3x dx

A: We have to find the indefinite integral

Q: 2). 3rin y l dy dx [ 5 X In Xナ3

A:

Q: 2. The rate at which the total average of COVID cases is dx increasing at x = 10 tents and 1 tent…

A: The solution are next step

Q: If the instantaneous rate of change of ƒ(x) with respect to x is positive when x = 1, is ƒ…

A:

Q: what is the derrivative of y^3 + y^2cos(x) = x^3 -3x and what points in the function for dy/dx does…

A:

Q: 28. Differentiate implicitly to find dy/dx if x + x/y = 7.

A: Given, x3+x/y=7 we can also write as yx3+x=7y,  or y=x7-x3 derivate both side w.r.t x…

Q: 2. Estimate the instantaneous rate of change of y = at x = 1. Show your work. 2x-3x+1

A:

Q: 2. Suppose that the marginal revenue for a company manufacturing coffee machines is given by…

A: Given expression for marginal revenue of the company is: Q=100-0.5x where, Q is the marginal revenue…

Q: A radioactive substance is decaying at a rate represented by y = h(t) = Rqa', in millirems per hour.…

A: Given: The rate of decay of a substance is given by, , where is a initial amount of substance.

Q: ind dy/dx if y=8x-3/24x^5

A:

Q: In (In e*1): What is the derivative of y 3z²+1

A:

Q: 1. Find the rate of y with respect to x at the point (1,8) if 7y² - xy³ = 4. dy dx

A: Given: 7y2-xy3=4 and Px,y=1,8   As we know that; The Power Law: ddxxn=nxn-1 The Product rule:…

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A:

Q: At time t = 0, then th

A: P(t)=0.5t4-16t3+144t2       , 0≤t≤12At t=0 the sale begins,costco is having a 12 hour sale,The rate…

Q: John is an epidemiologist. He is tasked to determine the rate at which the total average of COVID…

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Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: Suppose that the marginal propensity to save is SP = 0.1 - dy (in billions of dollars) 7y + 2 and…

A: Given: The marginal propensity is The consumption is $ 7 billion and the disposable income is $ 0

Q: 2 1 Estimate -dx using the right endpoint rule with n = 4 3 1+x

A:

Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: Differentiate. y =x° In x- dy II

A:

Q: OFind dy 9= (x²45x)"(x + Sec

A: The given function is: y=x2+5x4x+sec x5

Q: 4. If a point is moving along y = 3x2- 4x – 6 at a rate of = 4 m/s, find dt when x = 3.

A:

Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

A:

Q: What is the derivative of the expression (xy)" = e 1+ In(xy) 1+ In(xy) y O Option 1 Option 2 1+…

A: Given (xy)x=eTo find Derivative:

Q: What is the concentration of glucose in the bloodstream after 10 min if r =5 g per min, k = 5, and…

A:

Q: Find the Indicated Derivative dy 1. y = x5 - 3x* + 2x3 - 2x2 + 7x - 1, dx dy 2. y =x2+x-3 + 3, dx…

A: Given:- y = x5 -3x4 +2x3 -2x2 +7x-1 y =0.5x-2 + (2x-3/3) +3 To find:- dy/dx

Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: rdr 17. S- V16-9r4 dy 18. S; 3x2-2x+5

A: Given

Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: y = In (5x- 6x • 6), Hthe derivative, y' 2. 1S

A:

Q: i) S'(2x – 1)* dx (In x)2 j) fth dx 7 k) S (1-- -)dx (x2+1) 1) S(1+ tan² x) dx

A: I am attaching image so that you understand each and every step.

Q: dy 3. y = [(x + 1)(x – 1)]³, dx dy 4. y = (t + 4)(t – 2)(t – 1), dt 12/07/2021 15:

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Q: Find dy/dx by implicit differentiation. 5x3 + x2y − xy3 = 2

A:

Q: Assume that the dynamics of caffeine absorption are given by Ct+1 = 0.87Ct , where t is time in…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  compare this…

Q: Evaluate dy/dx at x=2 and y=3  if   x4 +  y4 =16.

A:

Q: A radioactive substance is decaying at a rate represented by y = h(t) = Rọa“, in millirems per hour.…

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Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

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Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: Limit 0 to 2 √x dx

A: We have to find the definite integration: ∫02xdx We know the formula of integration, ∫xndx=xn+1n+1+C…

Q: What is the derivative of y (2æ)* O (2x)^(x) (1-2 In2x) O (2x)^(x) (1-In2x) O (2x)^(x) (1+2 In2x) O…

A: Given; y=(2x)x.

Q: Suppose that the marginal propensity to consume is dC -0.2y = 0.8 - e dy (in billions of dollars)

A:

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

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Q: Suppose x and y are functions of third variable t. In the equation *-+) , what are the values of the…

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Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

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Q: Suppose that the fish population P(t) in a lake is attacked by a disease at time t = 0, with the…

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