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

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: Use second fundamental theorem of calculus. Find the derivative F'(x) of the function.

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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: Analyze the graph of f'(x) (first derivative) Find all extrema. Determine which are maximums and…

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Q: Determine the stationary points of the function y = x2e-x and hence classify them.

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Q: What are the two graphical interpretations of the Midpoint Rule?

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Q: ) Use limit process from Chapter 2.1 (Use limit definition of derivative Find the derivative of y…

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Q: Please solve this question using application of derivatives!!   A conical tank is designed so that…

A: the volume of the conical tank is given by the formula, V=13πr2h where r is the radius of the cone…

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 derivative of f(x) = (x²+4)(3x³ - 2x) at the point x = - 3[ use product rule] %3D B.

A: We have to find the derivative

Q: An orchard has an average yield of 36 bushels of apples/tree if the density is 22 trees/acre. For…

A: Let x be the additional number of trees to be planted to maximize the total yield.

Q: Explain in a sentence what the partial derivative of f with respect to x represents in the context…

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Q: What are the other types of problems where differentation/derivatives concepts are used? Give an…

A: To find the differentiation concepts used used problem and provide an example with solution.…

Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

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

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

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Q: ABANATUAN CITY B. Compute the derivative function f using the definition of the derivative. Show…

A: Using definition of derivatives.

Q: give the derivatives examples with solution 2 examples of difference rule

A: Difference rule: ddxf-g=dfdx-dgdx

Q: find all possible functions with the givenderivative. y' = √θ - sec2 θ

A: Given: y'=dydθ=θ-sec2θ for evaluating solution of given differential equation, we use variable…

Q: Use Intermediate Value Theorem to show that the equation

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Q: true or false?  Continuous functions have a tangent line at all points.

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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: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: fx=x4-8x3+9

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

A: The given function is y=etanθ.

Q: Calculate the derivative 21 using Part 2 of the Fundamental Theorem of Calculus. 21

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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: Justify your conclusion in terms of the derivative of the parameter transformation involved

A: We want to tell you conclusion of above statement

Q: %3D Find the second derivative of f(x) = 3e*-8e-6x

A: We have to find the second derivative of the function: fx=3e5x-8e-6x We know the formula of…

Q: Sketch a graph of a function whose derivative is zero at exactly two points. Explain how you found…

A: Sketch the graph of a function whose derivative is zero at exactly two points which means we can…

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

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Q: Give information on this application of derivatives:  Optimization

A: Topic:- application of derivatives

Q: curves. Decide whether to integ

A: The given curves are: 2y=5x, y=3, and 2y+2x=7 Find the area of the region and sketch the graph.

Q: b) Use second derivative test to find absolute maximum and minimum values of f (x, у) 3 Зху — 6х —…

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Q: Make 2 examples (problem solving) regarding maximum and minimum values (application of derivatives.

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

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Q: Sketch level curve of f(x,y)=x2-y2

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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: imum or minimum point for the curve = 4x-x" ?

A: Consider the equation

Q: Solve using partial differentiation

A: Given that  uxy=4eycos2x given that y = 0, ∂u∂y=cosx and u=y2…

Q: function with form y = ax

A: Given,  A power function y=axp passes through the points 3,781 and 6,71296. The equation of power…

Q: Explain derivatives on optimization ?

A: Topic:- derivatives

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

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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: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Q: Exercise 3 A mayor announces that the town's expenses are increasing, but at a decreasing rate.…

A: Given,  A mayor announces that the town's expenses are increasing, but at a decreasing rate.

Q: Find a formula for the linear function whose graph is a plane passing through the point (4, 3, -2)…

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Q: ______ provide a means to predict the value of a function at one point in terms of the function…

A: Given: Let us consider the given statement, "______ provide a means to predict the value of a…