Find the relative extrema using both First and Second Partial Derivative test f(x) = 1+8x - 3x2

Q: 3. Given the equation y = x³ - 3x² + 3, determine all Critical Points and classify using the SECOND…

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Q: 2. As an application of partial derivative of multi-variable functions, provide one page abou…

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Q: Find both first partial derivatives. z = 8y2 sqaureroot x

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Q: Find the relative extrema using both First and Second Partial Derivative test f(x) = Sin2x ; 0<x<n

A: i) The given function is fx=sin2x. Given that the domain of the function is 0,π. Obtain the first…

Q: Find the critical points, use the second derivative test, and determine the relative maximum and…

A: Answer

Q: Explain how the First Derivative Test determines whetherƒ(x) = x2 has a local maximum or local…

A: Given:   f(x) = x2 To determine whether f(x) has a local maximum or local minimum at the critical…

Q: Use the first derivatives test to find local exterma of f( x) =x3 -12x on R

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Q: Find the partial derivative. 17zy

A: Given, ∂xe17xy∂x We have to find the partial derivative.

Q: Find the critical points of the function by using algebraic partial derivatives test. Rx, у) - -х2 -…

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Q: Find the first partial derivatives

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Q: (b) f(x) — хе*-у-z xex-y-z

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Q: Find the partial derivative. xev10ry Əx

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Q: Compute the partial derivatives: 5x dz dz

A: Given query is to find indicated derivative.

Q: Explain how to determine Partial derivatives for y-value ?

A: For a multi variable functions like f(x,y) To find its partial derivative for y value, treat x as a…

Q: Using the method of characteristics, find a solution to the partial derivative equation xux + uy = u…

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Q: How are second-order partial derivatives used in findingextrema?

A: We have to tell how we can find extrema using second-order partial derivatives   The second…

Q: How would you find the stationary points of partial derivative equations coming from a multivariate…

A: Stationary points:

Q: maximum point of y x – 2

A: Condition for Extreme Value: A continuous function fx, y has extrema at a, b if fx=fy=0 at a, b…

Q: Find the relative extrema using first derivative test   f(x)=(x-2)^6

A: Consider the function f(x)=(x-2)^6

Q: Find the partial derivative. z = (2² + 2x – 6y)"

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Q: What is the Mixed Derivative Theorem for mixed second-order partial derivatives? How can it help in…

A: Mixed Derivative theorem:" If the function f(x,y) and its partial derivatives fx,fy,fxy and fyx are…

Q: 配一 X一y

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Q: Find the partial derivative Əz Əx for the function z = 8y²√x.

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Q: Q#2 Find the relative extrema using both First and Second Partial Derivative test i) f(x) = x* –…

A: Given: A function fx=x4-12x3 To find relative extrema first find critical points and then substitute…

Q: invented

A: We have to give the example according to the given information

Q: How does the relation between first partial derivatives and continuity of functions of two…

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Q: What is the Mixed Derivative Theorem for mixed second-order partial derivatives? How can it help in…

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Q: Please show me the partial derivatives for this homogenous equation and solve for GS/PS using Test…

A: Exact differential equation

Q: Find the partial derivative. 4 = (x² + 6x – 3y)* - dz

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Q: first derivatives test to find local exterma of f( x) =x3 -12x on R

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Q: Find the partial derivatives of the function with respect to each variable.

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Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

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Q: As an application of partial derivative of multi-variable functions, provide one page about Lagrange…

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Q: if z=square root of 36-x2-y2, compute the partial derivatives: The partial derivative of 2z/x2 =…

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Q: How do you find the partial derivative of a given function using the definition formula?

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Q: evaluate using partial functions *IntegralSymbol* x^5+x-1 / (x^3+1) dx

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Q: Evaluate the indicated partial derivative. -9xy- 3r-y: ду

A: We are given that z=9x2y-3x5y. Now,              ∂z∂y=∂ ∂ y9x2y-3x5y=∂ ∂ y9x2y-∂ ∂ y3x5y=9x2-3x5

Q: Explain how to determine Partial derivatives for x-value ?

A: Partial derivatives :- Let z=fx,y be function of two independent variables x and y. If we keep y  as…

Q: Explain how to find a first partial derivative of a function oftwo variables.

A: To get the first partial derivative of a function z = f(x, y) with respect to x we have to…

Q: Find the partial derivative for this

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: How does the partial derivative relate to the limit of a function of two variables?

A: Solution

Q: Explain Partial Derivatives of a Function of Two Variables?

A: Partial derivatives of Two variables : If z = f(x, y) , then first partial derivative of f with…

Q: Find the partial derivative of fy for the function * 3 f (x, y) = (3x² + y²) ³ 3x² (3x² + y²)²…

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Q: Find 1" and 2nd order partial derivative for the function ax²+by²+2hxy and also verify дхду дудх

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Q: Find the partial derivative 9. f(x, y) = x ^ 4 + 5x * y ^ 30

A: Given,            f(x,y)=x4+5xy30

Q: Find the partial derivative. 2 = (r² + 5z – 6y)“ az ||

A: The given function is: z=x2+5x-6y4

Q: Explain whether the Quotient Rule should be used to find the partial derivative

A: Partial Differentiation:     ∂∂x(xyx2+1)ddx(uv)=v.dudx-u.dvdxv2

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.