Find f+ g, f - g, fg, and f/g and their domains. f(x) = x, g(x) = Vx

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: find all critical points of the function f (x) = x3 − 9/2^ x2 − 54x + 2

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Q: Find the local maximum and local minimum values of f using both the first and Second derivative…

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Q: Find the critical point for f and then use the second derivative test to decide whether the critical…

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Q: Find the linearization of the function f(x) = x^8 at x = 1

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: Find the first and second derivatives of the functio f(x) = x(x² + 4)2 %3D f'(x) = %3D f" (x) = %3D

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Q: Find the derivative of f (x) = V3x² In(3x²). 2/3x2 A 3x In(3x²) + V3x2 2 + 3x In(3x²) В

A: Given thatfx=3x2ln3x2To find : derivative of…

Q: Find the derivative of the algebraic functie c3 – x³ c3 + x3 c is a constant. f(x) %3D 6r3 3 (3 +x³)…

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Q: Find the critical points of the function f(x)3D7X2-14x.

A: Need to find critical points

Q: The function f(x) = 2x3 – 39x? + 240x + 9 has derivative f'(x) = 6x? – 78x + 240. %3D f(x) has one…

A: Given data:   The expression for the given function is f(x)=2x3-39x2+240x+9. The expression for the…

Q: The Range of f(x) = V1-x is 1. [-1, 0) 2. (-, 1] 3. (-0,0) 4. [0, 0) 1 2

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Q: . Find the derivative of f (x) = (2x – 6(3x²+8). A. 30x4-54x2+32x %3D

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 – 6x² –…

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Q: Find and classify the stationary points of f(x) 2x} + 4x,x3 – 10x,x, + x}

A: Given,     f(x)=2x13+4x1x22-10x1x2+x22

Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Let f: [2,3] → {1,3} be a continuous function such that the equation f(x) - x = 0 has a solution in…

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Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: Find the derivative of the function. Provide the solution in factored form. f(x) = 2x(x³ – 2)6 %3D

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Q: Find the critical points of the function f(x)=8x3−x4.

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Q: Find the critical number of the function. f(x) - 3x + 3x2 + x

A: If f'(c)=0, or is not differentiable at c, then c is a critical number. Therefore, we must set the…

Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: Find the local minimum and local maximum values of the function g(x) = 6x2− 4x3 using both the First…

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Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx ) is, %3D 2x2 – x – 6/x A. fi(x) %3D 2x2+…

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Q: Find the derivative of the function. f(x) = (2x3 - 8x² + 3)4 %3D

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Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: Determine all the critical points of the function f(x) = 3xe3*

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Q: Find all critical points of the function f(x)=xlnx.

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Q: Differentiate the function. g(x) = In(xe-Sx)

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Q: f(x) = (x2 + x) (x* - 6x)3 %3D

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Q: Find the derivative of the function. g(x) = 4x2 + 7x3 g'(x) = %3D

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Q: Find the first and second derivatives of the function. f(x) =x4 -3x3 +16x

A: To find the first and second derivatives of the function. fx=x4-3x3+16x

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: Find the derivative of the function g(x)=∫3x2xu2−3u2+3du.

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Q: 3. Derivative of g(x) = 2x + xª − 7x² +3 b) 12x³+4x³ - 14x +3 c) 12x6 +4x² - 14x²_____d) 12x³+4x³ -…

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Evaluate f''(c) at the point. f(x) = (x2 - 5)(x3- 5), c = 1

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Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: Find the derivative of f(x) = e2" (3x² – x) %3D

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Q: The function f(x) = 2x³ – 27x² + 108x + 9 has derivative f'(x) = 6x² – 54x + 108. f(x) has one local…

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