Find the relative extrema of f(x) = 3 +90x – 9x² using both first %3D - and second derivative tests. f (x) has a relative | Choose one▼ at the point (,) Choose one maximum minimum

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A: Introduction: If f(x,y) is a two-dimensional function with continuous partial derivatives and a…

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Q: Find the critical points and the intervals on which the function f(x) = x* – 9x2, (x > 0) is…

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Q: Use the second derivative test to identify any critical points and determine whether each critical…

A: Second derivative test : Suppose (a,b) is a critical point of f. Assume fxx,fyy,fxy are defined and…

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

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Q: Hi, I need help with this step-by-step. Please.

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Q: 5. Use the given derivative to find all critical points of f and at each critical point determine…

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Q: Consider the function f(x) = 648x¬² + x³. Taking the initial point as x = 6 and increment value as…

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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: Find the slope of the curve y=x2−3x−4 at the point ​P(2​,−6​) by finding the limiting value of the…

A: Giveny= x2-3x-4 = f(x)at point ( 2, -6)as f(x) =x2-3x-yand f(2+h) = (2+h)2-3(x+h) -4…

Q: Find the x-coordinates of the absolute extrema of f(x) = -x² + 7x on the interval [1, 7]. Absolute…

A: f(x)=-x2+7x differentiating both side f'(x)=-2x+7 now f'(x)=0 -2x+7=0 x=3.5 So x=1, 3.5, 7

Q: Use the Second Partial Derivative Test to find all critical points for the following function ?(?,…

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Q: Use the second derivative test to identify any critical points and determine whether each critical…

A: Given f(x, y) = 3x2 + 2xy + y2 + 4x − 8 by second derivative test to identify any critical points…

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Q: Use the first derivative test to find the critical points, local max and local min points (need y…

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Q: Find the absolute maximum and absolute minimum f(x) = + x2 24x over the interval 2, 6|. -

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Q: Find the critical point of the function f(x, y) = 7x² + 5y2 – xy + x. Then use the Second Derivative…

A: Relative minima and maxima of function

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Q: Find all critical points of the function f(x)=5x5-2r and use the First Derivative Test to find local…

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

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Q: 2. Use the second derivative test to determine the local minimum and maximum points of the graph of…

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Q: Find the coordinates of all critical points of the given function. Determine whether each critical…

A: Given function is fx=3x3-9x+3 To find the critical points first differentiate given function…

Q: Find the relative extrema of f(x) = 9+30x – 3x? using both first and second derivative tests. f(x)…

A: A detailed solution is given below.

Q: find all critical points of f(x) = x²e², and use the second derivative test to determine if each…

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Q: Find the value of x at which the absolute minimum occurs (if it exists) for the function f(x) = -x2…

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Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a. a local maximum at x = -1 and a local…

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Q: What value of a makes ƒ(x) = x2 + (a/x)have a local minimum at x = 2?

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Q: Find the relative extrema of f(x) = 3 + 70x – 7x² using both first and second derivative tests. f…

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Q: Find the maximum and minimum value of f (x,y) =x' + 3xy² – 3x² – 3y² +4 = X" - -

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Q: Use the first derivative to find all critical points and use the second derivative to find all…

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Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y² . 5kx3…

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Q: f f is a differentiable function with derivaitve f' x^2+2x-3, then f has a realtive minimum

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

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Q: (1) Find the derivative of the function f(x) = 2x³ - 12x² +4 and use it to find the critical numbers…

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Q: Locate all relative maxima relative minima and saddle points for /x, y)-3x-2xy +y -By

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

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Q: y у%3D х* + 8х — 1

A: Second derivative test to Find Maxima and Minima : Firstly , we can find critical points , f'(x) =0…

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local maximum at x = -1 and a local minimum…

A: Given: fx=x3+ax2+bx To find a, b such that function has local maxima at x = -1 and local minima x =…

Q: The function h(x) = x³ + 28x4 – 1311x³ has a critical point at x = 19. Use the second derivative…

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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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