Find the differential of the function y = (√1 + x)/(x − 1) and use it to estimate: The value of y when x = 2.95 The value of y when x = 8.2

Q: Use differentials to find the value of  GIve anser to two decimal places.

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Q: (c) Find the differential of the function: l =e"sin(s+ 21 )

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the differential of the function. p = 39 - 8q3/2 dp 252.81

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Q: Find the differential of the function T = uw / 1+ uvw

A: Our Aim is to find the differential of the function:-T=uw1+uvw-(i)

Q: B) Find the third derivative of the function: Y = + VX3 %3D

A: We have to find third derivative

Q: Find the differential of the function y = f(x). 2x2 + 5 f(x) = X + 5 dy = %3D

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Q: Use differentials to approximate the change in y = f(x) from x = 4 to x = 4.1 for the function, f(x)…

A: It is given that,

Q: Find the differential of the function y=(3-x8)1/2

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Q: Find the differential of each function: (a) y =(x' -3)* (b) y= V1-

A: Solution of this question is

Q: B) Find the third derivative of the function: Y = +VX

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Q: Givenf(x) = x°, use differential to estimate the value of (4.003). Give your answer correct to two…

A: Here we have to make linear approximation of the given function at a specific point suitable for the…

Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: equation y=lnx3x-csch-1 [(tan(3x))] +8, calculate the differential of y if dx=2.9 and x=9

A: Given equation is y=lnx3x-csch-1tan3x+8. Compute the derivative.…

Q: y = (e*+4 +2)/(e2+3x +1)

A: y=e-3x+4+2e2+3x+1

Q: Find differential of the function y= (r + 3)*

A: The given function is                                 y=x2+33

Q: Find the differential of the function. y= e^x /  1−e^x

A: We have to find

Q: Determine the differential of y for the function y=3ln(4x2).  Simplify fully.

A: To Determine: Differential of y

Q: What is the value of the differential if f(x) = x + 2x - ! x = 8.4 and dx = 0.86. Round your answer…

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Q: 1 y = x²-1 Using differential, draw the function

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

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Q: f(x) = 9x3 + 4x.   Find the differential of the function.   dy =?

A: Given , y=fx where fx=9x3+4xwe have to find the differential dy

Q: B) Find for the Implicit function: dx x2 - sin(xy) + y² = 5xy

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Q: Find the differential of the function. z = e ** cos(8nt)

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Q: 5) y>10 (3v-1) (1+5w)

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 10x4/5   dy=?

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Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: Find the derivative of the function P = (4+ ln r)8. 0.8 %3D dP dx

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Q: Given a function ƒ that is differentiable on its domain, write andexplain the relationship between…

A: The differentiable function is f on the interval I which contains a point a. The linear…

Q: Use the information to find and compare y and dy.                                    Function y =…

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Q: Find the differential of the function. p = 39 - 893/2 dp =

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Q: Find the differential of the function. z = 7t − 7/t2

A: zt=7t-7t2

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOLUTION): 2 X = 2…

A: First, evaluate the first derivative dydx (y'). To find y', determine the dxdt and dydt.…

Q: Find the differential of each function.  y = s/ (1+2s)

A: The given function is y=s1+2s To find the differential equation for function y, Since the given…

Q: Find the differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: The total time required to bake a loaf of bread, B, is a function of the temperature of the oven, T,…

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Q: Find the differential d3y of the function y=x2ex.

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Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =…

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Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: Find the differential of the function y=xex2.

A: Here the given function as Use the product rule of derivative which states

Q: find the differential of the function. u=3x^7+3 du=

A: to find the differential of given function we have to differentiate u with respect to x.

Q: Find the differential of the function f(x) = (x+4)^(1/2) dy =

A: Find the differential of the functionf(x) = (x+4)^(1/2)

Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Q2: - Find the second derivative of the following function at x = 2 1) y=+ V

A: ddx1x = -1x2 ddxxn = nxn-1 ddxx =12x

Q: To use differentials to approximate V8. You would use x = and dx

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Q: Find the differential of the function. 8x y = e dy = 8e8x

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Q: Consider the following revenue function, where ? is measured in dollars. R(x)=110x-0.1x^2 a. Use…

A: Consider the following revenue function, where R(x) is measured in dollars. R(x)=110x-0.1x^2 a. Use…

Q: Find the differential of the function. T =V 9 + uvw

A: Given T = v9+uvw

Q: 4) /() =2-2 3. 5) y = x*+2x+1 6.) f(x) =

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Q: f(1, у) — Зх + 2у;

A: