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

Q: Estimate the slope of the tangent to the function… at the point of abscissa -3 and then determine…

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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: () Y = sec

A: Given the function

Q: Differentiate (x-2)2+(y-3)2=9 at (7/2, ((6+3√3)/2)). Then use it to determine the equation of the…

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Q: Find the maximum rate of change of f at the point (, 1).

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Q: Find an equation of the line tangent to the graph of y = exat x = 0.

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Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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Q: Describe what a partial derivative means geometrically.

A: Describe what a partial derivative means geometrically.

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

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

Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

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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 perpendicular trajectories of the curve family. 1. x -

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Q: Find the point (xo, yo) on the graph of y = x' + 9x² + 6x – 3, at which the slope of the tangent…

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Q: The Gateway Arch in Saint Louis is modeled by the curve: y = 210 − 20 cosh ( x/30) . At what height…

A: yx = Height of the Gateway archyx = 210 - 20coshx30         Blue curve---------------------formulae…

Q: true or false?  If the tangent line is horizontal then the function has a maximum or minimum value…

A: Tangent line - A line that just touches a curve at any point is called the tangent line. It gives…

Q: The graph at the right show a relative minimum at the point , but y' # 0. How could we use the…

A: The cusp points on the curve can be identified as follows: If the function f(x) has the first…

Q: Find the maximum or local minimum f(x)=sinx.[0,4]

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Q: Use the limit definition to calculate the derivative of the linear function.            f(x) = 12

A: The differentiation is a process of finding the rate of change of one variable with respect to…

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: Find the point (xo, Yo) on the graph of y = x³ + 3x² + 5x – 3, at which the slope of the tangent…

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Q: Find the point (xo, yo) on the graph of y = x + 3x² + 4x – 5, at which the slope of the tangent line…

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Q: Find the coordinate of the local maximum for the curve 21 y=2+9x- +2x

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Q: can explain for me what is Applications of Partial Derivative ?

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Q: What are the coordinates of the point on the curve f(x)=4/x^2  -x where the tangent is horizontal?

A: Given:  f(x)=4/x^2  -x

Q: Find the point (x0, yo) on the graph of y = x + 9x² + 8x – 5, at which the slope of the tangent line…

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Q: Use the definition of derivative to differentiate f (x) = x + Vx.

A: To find: The derivative of by using definition of derivative. Formula used: Definition of…

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

A: The given function is y=etanθ.

Q: state the limit definition of the derivative

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

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Q: Use the linear approximation to estimate

A: In this question, by using a linear approximation to evaluate the value of the expression using…

Q: State the limit definition of the derivative.

A: derivative can be defined as below:-

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

A: We have to find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis…

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: What is the maximum slope of a tangent to the function f(x) = −x3 + 4x − 2?

A: Maximum slopes of tangent to function is 4.

Q: Give information on this application of derivatives:  Optimization

A: Topic:- application of derivatives

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

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Q: How can we find the slope of the tangent line to the parabola y = x2 at the point?

A: Consider the following equation of parabola: y=x2 Differentiate y with respect to x: dydx=ddxx2=2x

Q: Describe the tangent line at an arbitrary point on the “curve” y = 2x + 8.

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Q: Find the directions in which the function increases and decreases most rapidly at Po-

A: Given, fx,y,z=4lnxy+lnyz+lnxz, P01,1,1 Direction in which function f increases is given by, u^=∇f∇f,…

Q: What point on the curve y = x is closest to the point (5, 0)?

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Q: Find all points on the curve y =x3 +-x* + 6x² where the tangent is horizontal. 3

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Q: Find the point (xo, yo) on the graph of y = x' + 9x² + 7x – 5, at which the slope of the tangent…

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