The function f(x) = 2x°- 36x+210x + 4 has one local minimum and one local maximum. Use a graph of the function to estimate these local extrema.

Q: Find the critical points, domain endpoints, and local extreme values for the function. y = 4x/16 -…

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Q: Determine the equation of the quartic function with the following characteristics x-intercepts at x…

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Q: find the orthogonal trajectories of the family of curves x2+y2=a2

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Q: FIND THE MINIMUM AND MAXIMUM VALUE F (X) = X/(1-X) X e(0,1)

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Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: Find the point of minimum values of the function f(x,y) = 2x^(2) + 3y^(2) − 4x − 5 on the domain…

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Q: 1. Sketch the graph of y = sinx,0 ≤ x ≤ 360°, and complete the table below Maximum: Minimum:…

A: This question is based on graph of y=sinx

Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given  y = 2x2 - ln 4x

Q: f(x) = x2 -x-7 is The relative maximum value of and its relative minimum value is

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Q: Find the minimum value of f (x) = 7x² – 2x + 4 on the interval (0, 1].

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Q: What is the x-component of the minimum point of the function in the picture?

A: Given  z=x2+xy+y2-y ∂z∂x=2x+y On putting,  ∂z∂x=0 ⇒2x+y=0 ---> eqn(1) Now, ∂z∂y=x+2y-1 On…

Q: 1. Use the first derivative test to find the local minimum and maximum points of the graph of f(x) =…

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Q: Find the absolute extrema of the function on the closed interval. (x) = 7x2 + 1, (-1, 2] minimum (х,…

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Q: Q1- Find any local maximum and local minimum values and sketch the curve: x? + 1 f(x) = x2. - 1

A: Given that  f(x)=(x^2+1)/(x^2-1) To find the local maximum and local minimum

Q: At what x-value is the global minimum for f(x)=x2−4x+3 within the interval  0≤x≤5?

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Q: f (x) = e'/x²

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Q: Determine the values of constants a, b, c, and d so that ƒ(x) = ax3 + bx2 + cx + d has a local…

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Q: Find the global minimum of the function f (x) = 2x’ + 3x² – 12x + 4 on the interval [-4,2].

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Q: At what value of x is f minimum?

A: To find: The value of x for which f is minimum. Calculation: It is observed from the graph that the…

Q: 2. Find the minimum value of f(x) = %3D

A: We expert are supposed to do first question . We have to find minimum value

Q: Find the quadratic function f (x) = ax2 + bx + c that goes through (0, 1) and has a local minimum at…

A: Given: The quadratic function fx=ax2+bx+cpasses through the point 0,1 and has local minimum at 1,-1,…

Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x-2x²

A: We can use application of derivative order to solve the given problem.

Q: Find the maximum and minimum values of the function y 32t-t on the Interval [4, 61. %3D maximum…

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Q: y = x3 + 1,

A: We have to find

Q: Find the local maxima and local minimum value of function f(x) =xx

A: We use first derivative test to find local maximum and minimum

Q: Find the exact value for the absolute minimum of the function y=x*

A: The given function is y=xx

Q: Q1- Find any local maximum and local minimum values and sketch the curve: x+ 1 S(x) x² – 1

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Q: y = 3 – 2x + x?

A: In this question, we need to find the critical points and test for maxima/minima of y=3-2x+x2.

Q: Find the absolute minimum value of the function   g(x)  = ex/x, x>0

A: The function is gx=exx for x > 0.   Differentiate the function with respect to x.…

Q: Find a function y whose graph passes through the point (1, =) and satisfies x2y' = y.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the minimum values of the function (x, y) = x² + 2y² that lic on the cirele x² + y² =1

A: Given : Function fx,y = x2 + 2y2  Circle x2 + y2 = 1   To find : Minimum values of the given…

Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x²

A: Points of local extremum can be calculated by using the first derivative. These are points which…

Q: Use the graph to state the absolute and local maximumand minimum values of the function.

A: Absolute maximum value= 5  Absolute minimum value= None (because there is an open circle at the…

Q: Find the values of constants a, b, and c so that the graph of y = ax + bax2 + cx has a local maximum…

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Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

Q: Given f (x)= (x^2) (e^-x) , find the relative maximum and relative minimum point respectively.

A: We will use derivative to find maximum and minimum value for the function. If f(x) is a function.…

Q: Find the value of x at which the minimum of the function f(x) = x? Occurs.

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Q: Find the local maximum and minimum values and saddle point(s) of the function x² y² – 8x + y f(х, у)…

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Q: 10. If the minimum of the function y =x 2 –4x+21 occurs at x =2, what are the coordinates of the…

A: In the question , it is already given that minimum is occurring at x = 2 So, just put the value x =…

Q: identify the coordnates of any local maximum or minmum values of the function y=(x+3)2/ e2x

A: y=(x+3)2/ e2x Or, y = (x+3)2e-2x We need to find it's derivative and equate the same to zero.

Q: Find the orthogonal trajectories of the family of curves x2+y2=a2

A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.

Q: Let f(x)=kx^-1+x^2 For what values of k, function f(x) has a relative minimum but not a relative…

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Q: Find the point where the minimum value of f(x, y) = xy subject to y = 90 – x occurs.

A: Find the point where the function f(x,y)=xy subject to y=90-x2 attains its minimum value.

Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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Q: f has relative maxima at x = and x = f has an absolute maximum at

A: Given that : Graph of the function f on [ 0, 28 ]:

Q: Find the absolute maximum and minimum values of f on the triangle with vertices (0,0), (3,0), and…

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Q: Use the graph to state the absolute and local maximumand minimum values of the function.

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Q: Find the minimum and maximum of x3+3x². on the interval [0, 3].

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Q: Let fx) = x + 2x-8. For what value(s) of x does fx) have a local minimum?

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Q: The degree of f(x) is v and the leading coefficient is There are distinct real zeros and relative…

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Q: y = x* – 4x +1

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Q: What is the x-coordinate of the global minimum of the function f(x) = x – 3 ln x – 2 for the…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.