Determine where a function has a horizontal tangent Question Determine the value(s) of x for which f (x) = 4x² – 2x + 20 has a horizontal tangent line. If there is more than one answer, give all of the x-values separated by commas, e.g. if f(x) has a horizontal tangent line at x = 3 and x 5 enter 3, 5.

Q: Perform a first derivative test on the function ​f(x)=2x3 +3x2 −12x +4​;​[−2​,4​].   a.  b.Use the…

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Q: The function f(x) = 3x + 4x-1 has one local minimum and one local maximum. This function has a local…

A: Given: fx=3x+4x-1, To find: Point of local minimum and point of local maximum and local minimum and…

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 7 – 1 - x, and the line…

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Q: of these functions has a fixed point. What happens when you iterate them 3. Consider the real-valued…

A: Since we know that, fixed point is the intersection point of y=x and y=f(x), it means graph of line…

Q: Find the critical points of f(x) = x³ - 24x² + 144x and use the Second Derivative Test (if possible)…

A: Solution of given question is written in below steps.

Q: Write apolynomial function of least degree with integral coefficients that has the given zeros. 4 3.…

A: If a,b,c are are the zeros of a polynomial function f(x) then (x-a),(x-b) and (x-c) are are the…

Q: Consider the function f(x) = (x² – 2x)3. Find the absolute 1/3 maximum and absolute minimum values…

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Q: а) If x, y and z are independent variables and f(x, y, =) =xsin( y + 3:) then find . b) Find all…

A: We know that ∂f∂z is partial differentiating f(x,y,z) with respect to z , treating x and yas…

Q: solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 a).  For which x is the function decreasing? Show using…

A: According to the given information,

Q: F(x)=6x^3-216x+9 [-4,5] Find the absolute maximum and absolute minimum values of f on the given…

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Q: Let f(x) =x³-6x²-15x+23 1) find the coordinates (x,y) of the inflection point(s) off 2) find the…

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Q: Determine all critical points for the function. f(x)=x^3-9x^2+8 show all work

A: Given function,  f(x) = x3 - 9x2 + 8 To find the critical points of the above function.

Q: 4. The graph of f(x)=x² – 6x² +2x+5 is given below. Sketch the line 2x- y=3 on the same graph and…

A: Consider the function fx=x3-6x2+2x+5 and the line 2x-y=3.   Sketch the line and function on the same…

Q: Find the absolute maximum and absolute minimum of the function f(x)=2x^5/2 /5−2x^3/2 /3−1 over the…

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Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A: Find maximum and minimum point

Q: The function f(x)=−2x^3+21x^2−36x+7 has one local minimum and one local maximum. This function has a…

A: Given  f(x) = −2x3+21x2−36x+7 We have to find the local minimum and local maximum of the function.

Q: Let f(x) = 5x? + x + 9 Use the second derivative test to find any local maxima and minima. First,…

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Q: nd the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 − 27x2 −…

A: Given function is  fx=6x3−27x2−72x+4 To find the absolute maximum and absolute minimum values of f…

Q: The function f(x) = 8x + 4x 1 has one local minimum and one local maximum. This function has a local…

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

A: Consider the given equation. fx=x3-6x2+5 and -3,5 Find the derivative. f'x=3x2-12x Put the…

Q: 4. Find the absolute maximum and absolute minimum values of f on the given interval and state where…

A: Given function is f(x) x3-3x2-9x +25 To find absolute minimum and asbsolute maximum over the…

Q: Find the absolute maximum and minimum of the function On the interval [0. 4] and find the…

A: finding critical point finding f(x) values in end points of the interval and critical points…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 15 + 2x −…

A: Answer is Absolute maximum value is 16 at x=1 and  Absolute minimum value is 0 at x= 5.

Q: Determine where a function has a horizontal tangent Question 25x3 Find all the value(s) of x at…

A: Given:

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

A: Find the critical points for f(x) by equating the first derivative equal to 0 and calculating x for…

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: 3) Find the critical points of the function. Then use the Second Derivative Test to determine…

A: Given:- f(x, y) =4x-3x3-2xy2 To find:- Local maximum, minimum and saddle point

Q: 3x Q.6 Find the absolute maximum and minimum values of function f(x)= √4x²+1 the interval ; [-1, 1]…

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Q: Let f (x) = a +x² 3x - Ca) Determine the y intercept of f(x) and any symmetry. (Don't ind the…

A: Given: Graph of function:

Q: 3) Using Fixed point theorem, show why the function g(x) = V2x +5 has a fixed point in the interval…

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Q: The function f(x)=−2x^3+36x^2−162x+6 has one local minimum and one local maximum. This function has…

A: As no method is mentioned, we will solve graphically. The graph of fx=−2x3+36x2−162x+6 looks like…

Q: Find the critical points of f(x) = -2x + 2x2 - 8 and apply the Second Derivative Test (if po < of…

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Q: 3) Using Fixed point theorem, show why the function g(x) = V2x+ 5 has a fixed point in the interval…

A: (3) Using Fixed point theorem, show why the function gx=2x+53 has a fixed point in the interval 2,3.

Q: The function f (x) = 6x¬l for the interval (0, 2) has a local minimum. neither local minimum nor…

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Q: Determine the absolute maximum and minimum values of f(x) = x3 – 12x – 5 on %3D the interval [-4,…

A: We need to find absolute max and min values.

Q: Find the absolute maximum and minimum values of 'f(x)=(2x)/(x^2+1)' on the interval [0,2]`…

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Q: The function f(x) = 6x¬1 for the interval [1, 2] has neither local minimum nor maximum. a local…

A: local maxima and minima

Q: Number of points where f(a) is non-differentiable in its domain is (1) 2 (2) 3 (3) 4 (4) 5

A: option (A)is correct

Q: Find the location and values for any global extrema of the function f (x) = 1/3 x^3 - 4x^2+7x %3D on…

A: The function f(x)=13x3-4x2+7x on the interval [0,2]. We have to find the locations and values of the…

Q: The function f(x)=5x+5x^-1 has one local minimum and one local maximum. This function has a local…

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Q: Find the critical points of f(x) = x³ – 15x2 + 48x and use the Second Derivative Test (if possible)…

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

Q: The function f(x) = 2x° 33x + 108x + 2 has one local minimum and one local maximum. This function…

A: first we calculate first derivative and second derivative.

Q: The function f(x) = 5x + 3x has one local minimum and one local maximum. This function has a local…

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

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Q: The function f(x) = 3x + 3x -1 has one local minimum and one local maximum. This function has a…

A: The given function is, fx=3x+3x. Using the second derivative test find the maxima and minima.

Q: 4. The graph of f(x)= x-6x² +2x+5 is given below. Sketch the line 2x-y= 3 on the same graph and then…

A: Just take the derivative of f(x) and equate it to slope of given line and find the values of x and…

Q: 3) Using Fixed point theorem, show why the function g(x) = V2x + 5 has a fixed point in the interval…

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Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: Find critical values of the function. If they exist label as a max/min or IP. Must show and use f'…

A: topic- application of derivatives

Q: Find the critical points of f(x) = x³ – 18x? + 96x and use the Second Derivative Test (if possible)…

A: the given function is fx=x3-18x2+96x the critical point occurs where f'x is undefined or zero.…