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

Q: Can a function have an inflection point at a critical point? Explain

A: Show that: Can a function have an inflection point at a critical point?

Q: Y. Section 2.5 In the following Exercise, use the given conditions to write an equation for each…

A: Given: Line is passing through -2,2 and parallel to the line whose equation is 2x-3y=7. To find:…

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

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Q: please show me how to solve these questions along with the answers  y= x^3 - 4x  What are the…

A: As per bartleby guideline for more than three subparts only first three are to be answered please…

Q: A rectangle has its vertices on the x-axis, the y-axis, the origin, and the graph of y= 4-x2 in the…

A: The objective of this problem is to find the maximum possible area of a rectangle that has its…

Q: What are the five key points of the cosine function? (0, 0), (90, 1), (180, 0), (270, −1), (360, 0)…

A: To determine the five key points of the cosine function.

Q: 2. Make a function discussion of f(x) = − (4x^2 − 8x + 4) / (2x-1) You must find the zero point,…

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Q: 83

A: Given,

Q: What are local maximum and minimum values of a function?

A: Define local maxima and minimum value:

Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: A particle moves along the curve y = 6x² + 2 in such a way that its x-coordinate is changing at a…

A: Given a particle moves along a curve..Given, x-coordinate is changing at a rate of -3 centimeters…

Q: Q1) A word problem involving instantaneous velocity that can be solved using limits. the world…

A: (1) Use the rate of change of velocity to determine the function h(t). Time t is time since the ball…

Q: x? + 7x + 3 y 2 Sketch the graph of values, intervals of increase and decrease, and inflection…

A: Given : y = (x² + 7x + 3)/x²

Q: Looking for some advice on this problem please! By using derivative, determine the intervals of x…

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Q: What is interior points of a differentiable function? Explain.

A: Interior points of a differentiable function:    A differentiable function is a function in one…

Q: Luestion 2 Which of the following is a function? 9x-5y^(2)=2

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Q: This function f(z)=(x^3-3xy^2)+i(3x^2 y-y^3) is differentiable O True False

A: Given :f(z)=x3-3xy2+i3x2y-y3

Q: Where do the absolute minimum and absolute maximum occur?

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Q: Does a relative maximum of a function always have the largesty-value in the domain of the function?…

A: A relative maximum point is a point where the function changes direction from increasing to…

Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of…

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Q: A model rocket is launched from the ground at an initial velocity of 160 feet per second. The…

A: The height of the rocket at any time t can be modeled by the following function : h(t) = -16t2 +160t…