Solve using partial differentiation

Q: Integrate: ∫sec^(3)2xdx

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Q: Differentiate F(x)=x sec^-1(x³)

A: Given, F(x)=xsec-1(x3)

Q: Find the partial derivative. 3 (x² +3x-3y) 2.

A: Given  z = x2+3x-3y4 We have to find ∂z∂x.

Q: Describe what a partial derivative means geometrically.

A: Describe what a partial derivative means geometrically.

Q: Q4. Find by implicit differentiation of 2x - 3y = 4

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Q: Integrate sec^3xdx

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Q: Find the derivative of f (x) = V3x² In(3x²). 2/3x2 A 3x In(3x²) + V3x2 2 + 3x In(3x²) В

A: Given thatfx=3x2ln3x2To find : derivative of…

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

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Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: X+ Jenk %3D

A: Here is the solution

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: Find y" by implicit differentiation 2x2y2=

A: Find y’’ by implicit function2x2+y2=6      ………(i)

Q: f(x)= (7x¹-5x-2)

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Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: Find the derivative of the function. Provide the solution in factored form. f(x) = 2x(x³ – 2)6 %3D

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Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: 2. у %3D 3 + 4x — х?

A: We can find the answer as below

Q: Use implicit differentiation to find: x2y+xy2=-2

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Q: Differentiate by using implicit differentiation x2y+xy2=6

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Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: ди ди x====u+Yay ?х

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Q: Find the partial derivative. revIlzy

A: We can find the partial derivative as below.

Q: 1. у %3D 4x2 — 3х — 2.

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Q: Explain the rule of maximum and minimum using Derivatives with an example?

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Q: How do you integrate 25e^-x?

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Q: Explain Partial Derivatives

A: Consider an example: "f" is a function with two variables. f(x,y)=xy+sin(xy) you can calculate 2…

Q: Find y" by implicit differentiation.   9x2 +y2 = 9

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Q: ³√xy = 2x²y-8x

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Q: Define “hyperbolic” trajectories?

A: we have to define "hyperbolic" trajectories

Q: Give information on this application of derivatives:  Optimization

A: Topic:- application of derivatives

Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

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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: Find the partial derivative. VI0ry

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Q: Find y" by implicit differentiation. 5x3 + 4y3 = 9 У" - %3D

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Q: In x 9) у - %3D x5

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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: Use implicit differentiation to find y² + 8x³ = 3y - 4x² dy dr

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Q: -f(x)=√√5x² +2

A: Please see the answer below.

Q: Find y" by implicit differentiation. 5x³ + 2y3 = 7 y":

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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: use implicit differentiation to find

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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 y" by implicit differentiation. 4x3 + 5y3 = 1 y" =

A: We will find the y" of the given function using the implicit differentiation.Below find the solution…

Q: Explain derivatives on optimization ?

A: Topic:- derivatives

Q: Find the partial derivative. xevllry ax

A: Given the function

Q: Define Partial Derivatives?

A: Partial Derivative is the process of differentiation used in functions containing two or more…

Q: az and ax az Use implicit differentiation to find for x2 + 2y2 + 3z2: 1. ду

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