Q4/ Explain the rule of maximum and minimum using Derivatives with an еxample?

Q: find the derivative using increment method show complete solution thanks, i'll like back y=x^(3)…

A: To find the derivative of y=x3-x-2 using the increment method. Note that the derivative using…

Q: Find the derivative of the transcendental function. 6e* y' =

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Q: Apply derivative to determine the vertex of the parabola y = x² + 2x + 2.

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Q: The second derivative test is used to distinguish between maximum and minimum points by determining…

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Q: sketch the curve, solve it's symmetry, assymptote, inflectionpoints (using derivatives) Y= (x2-4)2…

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Q: Differentiate the function. y = etan(θ)

A: Given y=etanθ Use chain rule of differentiation to differentiate the given function.

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 second derivative test, If f(x) = 25x + 10 then f(x) has a 3 local maximum at the point_

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Q: 3. Why first derivative is zero at local maximum and local minimum of function in an open interval?

A: Given, Why the first derivative is zero at the local maximum and a local minimum of function in an…

Q: How is derivatives utilized in solving for the dimensions and total area of a box?

A: Here we to write how is derivatives utilized in solving for the dimensions and total area of a box.

Q: Find the equation for the y perpendicular trajectories of the curve family. 1. x

A: perpendicular trajectory

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: Find the relative maxima and minima of y by the second derivative test:    y = 2x / 1-2x

A: Given- y=2x1-2x To find- The relative maxima and minima of y by the second derivative test: Concept…

Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3…

A: Topic:- calculus

Q: How can you use the slopes of tangents to determine whether a function is increasing, decreasing, at…

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Q: I dont know where to start this problem. It would be great to have some help

A: Given:

Q: 7. When does the second derivative test indicate that a relative extrema is a minimum?

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Q: Q3. Find any local maximum and local minimum values, and then sketch the curve by using 2-1 fx =…

A: Given: The function fx=x2-1x2+1 To find: Local maximum and local minimum values, To Sketch: The…

Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: Explain what happens when the derivative of a differentiable function is zero ?

A: To explain when a derivative of differentiable function is zero.

Q: Find the orthogonal trajectories for the family of curves y2 = Cx3 . Use a graphing utility to graph…

A: Given curve is y2=Cx3.

Q: Compute the derivative using derivative rules that have been introduced so far. y = (8x4 + 5)3

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Q: Find the derivatives of the functions in Exercis

A: Given, y=5-2x-3+182x+14

Q: Use Intermediate Value Theorem to show that the equation

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Q: Find the equation of a tangent line to the graph of f(x) = x² – 2X at (-2,8). TYPE IN THE EQUATION…

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

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Q: (b) Use the First Derivative Test to identify all local extrema. Local minimum at x = Local maxiтит…

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Q: Differentiate the function. y = etan(8) y' =

A: The given function is y=etanθ.

Q: Find the derivative, but ansuer do not simplitty your Y=(x=+X+7)(Vx-2VX+3)

A: Given, y=x2+x+7x3-2x+3 By using f·g'=f'g+fg' Here f=x2+x+7,  g=x3-2x+3 ⇒ddxx2+x+7…

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

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Q: Describe how to use the second derivative test to find relative maximum and minimum values of a…

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Q: Find the point (xo, yo) on the graph of y = x + 3x2 + 5x – 3, at which the slope of the tangent line…

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Q: Draw the function x = 2y- y2 by using the tools of derivatives? %3D

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Q: 2. Use an example to show how to use the First Derivative Test for critical points

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Q: Determine any critical points, point of inflection and trace the curve. 2. y =x*(2-x*)

A: Here we use the concept of derivatives.

Q: find any locl maximum and locl minimum values by using first derivative: f(x)-x-2x

A: Given :           f(x) = x4 - 2x2

Q: Give information on this application of derivatives:  Optimization

A: Topic:- application of derivatives

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: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: Can you please help me with derivatives and the power rule? I am struggling with that.

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Q: What information can be obtained from derivatives? Please provide 2 examples from the real world and…

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Q: find the derivative of the transcendental function y=4e^x/x^2+9

A: y=4exx2+9

Q: Explain derivatives on optimization ?

A: Topic:- derivatives

Q: Find the derivative by the limit process. F(x) = 13 -

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Q: Describe how you would use the second derivative to determine a local minimum or maximum.

A: Given data is: How you would use the second derivative to determine a local minimum or maximum

Q: use basic derivative teqhniques please, havent learned chain rule or lhospitals yet only the basic…

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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