One of the methods used to eliminate arbitrary constant is by direct differentiation and the other method is by…………

Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: if 2x^2+3x+xy=2 and y(2)=-6, find y'(2) by implicit differentiation

A: Firstly, Differentiate the given function with respect to 'x' and find y'(x). After that find y'(2).

Q: Find the second derivative of the function f(x) = 3*(square root of x+2 divided by 2x +1

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Q: If 4x2 + 2x + ry = 1 and y(1) = - 5, find y'(1) by implicit differentiation.

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Q: 2. f(x) = 3. g(x) = 5 In x – 2* 4. g(x) = 4x³ log, x

A: To find the derivative of the given function. 2). Given function is fx=x2ex. Quotient rule of…

Q: 6. One of the methods used to eliminate arbitrary constant is by direct differentiation and the…

A: As per the policy I can answer only first question for you, Please repost the remaining question…

Q: 4) fip by implicit differentiation, where Find dr y + x?y³ = x* + y.

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Q: What are the formulas for differentiation and integration?

A: Differentiation formula: There are many formula available in differentiation. few of them listed…

Q: When is it necessary to use implicit differentiation?

A: To explain: The necessity to use implicit differentiation: Explanation: Implicit differentiation: If…

Q: What is the derivative of f(x)=−2x?Do not include "f′(x)=" in your answer. For example, if you found…

A: we have to find derivative of f(x) ,we will use power rule

Q: Find the slope of the tangent line to the curve y- x + 4=0 at the points (8, 2) and (8, -2) in two…

A: We will find out the required solution.

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: y +x = xln y

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Q: 5 In this problem we will apply the second derivative test to the function f(x) = 4x + %3D

A: Given : fx=4x+5x

Q: First compute y' and y" by implicit differentiation. Then solve the given equation for y, and…

A: xy=y-2

Q: Sometimes the second derivative test is harder to use, even if it applies. Use the first derivative…

A: Given,

Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

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Q: what is he first derivative of f(x)=(5x^4-6x)  1/3

A: follow next step

Q: What is meant by Implicit Differentiation?

A: In implicit differentiation, we differentiate each side of an equation with two variables by…

Q: What are the formulas for differentiation and integration? How are they applied?

A: To write: Formulas for differentiation and integration.

Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: Find the derivative of the function. f(x) = (x + 1)(2x - 3) divided by 2x +1

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Q: Find a function whose square plus the square of its derivative is 1.

A: To Find a function whose square plus the square of its derivative is 1.

Q: By using the definition of derivatives, find f'(2) for f(x) = Vr +7. You may not get any credit if…

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Q: How can the derivative function definition be applied to this problem?

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Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y)=xy, What is…

A: To find the derivative of y with respect to x

Q: If a function is decreasing with an upward concavity, what do you know about the function's first…

A: Given :   If a function is decreasing with an upward concavity To find : the function's first two…

Q: Find the derivative of the following function. You must show work for this problem. et 8(x) = x2 + 1

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Q: If 3x² + 2x + xy 2 and y(2) -7, find y' (2) by implicit differentiation.

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Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

Q: Determine the derivative of the given function by using two different methods

A: Given,         y=x2-3x2+34

Q: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: If 3x + 3x + xy 4 and y(4) = - 14, find y' (4) by implicit differentiation.

A: According to question,Given equation,3x2 + 3x + xy = 4,y4 = -14

Q: What are the formulas for differentiation or derivative? When and how to apply those forhmulas?

A: Explanation: General formula of differentiation Power rule: ddx(xn)=nxn-1 Derivative of a constant…

Q: Having a hard time finding the derivative of this specific function. Need some help so I can double…

A: Given, fx =3x+784x-53 -ln2+π+lnx1.7 -2xx2+sin3xx6   We have to find the derivative of fx

Q: If 5x^2+2x+xy=4 and y(4)= -21, find y’(4) by implicit differentiation.

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Q: For some equations, such as x2 + y2 = 1 or x - y2 = 0, it ispossible to solve for y and then…

A: Implicit differentiation is usually a more efficient method for calculating the derivative of a…

Q: Suppose that x and y are related by the equation 5x2−3y2=4 and use implicit differentiation to…

A: The equation is given by 5x2-3y2 = 4                                      ..........(1) To evaluate…

Q: If we need to calculate the derivative of a function at a point, there are two ways we can think…

A: Given: gx=x-x2

Q: By using the definition of the derivative find to f'(x) 3. 3x

A: our objective is find the derivative

Q: Fif FCx)=3x-xト4

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Q: G (z) = /2 – 5x %3D

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Q: Find the slope of the tangent line to the curve y-x+5 0 at the points (6, 1) and (6,-1) in two ways:…

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Q: How do we know when to use implicit differentiation?

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to…

Q: и а. у %3D 1-и. HIN

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Q: x²+4x+3 (d) у %3D

A: The formula one has to use in this question is ddxxn= n xn-1