Determine where a function has a horizontal tangent Question 10x3 13x2 Find all the value(s) of x at which f(x) = 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. + 4x + 16 has a horizontal tangent line. If there is more than one 3

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A: Find value of x for the given function.

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Q: Consider the function f(x) = 2x³ - 3x on the interval [-5, 5]. Find function on this interval. By…

A: Given function fx=2x3-3x on the interval [-5,5] The average or the mean slope is given by mean slope…

Q: Consider the function f(x) = 5x³ – 2x on the interval [-2, 2]. | Find the average or mean slope of…

A: Given that, f(x) = 5x3 - 2x    on the interval [-2, 2] we have to find mean slope of the function…

Q: Describe the x-values at which is differentiable. f (x) = { 3²-7 x²-3x≤0 3-x²x>0 T -2 2 -2 The…

A: Let's find function is differential or not.

Q: Consider the function f(x) = 5 – 3x on the interval - 3, 5J. Find the average or mean slope of the…

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Q: -uppose that f(x) = (3x + 3) ³. A) Find an equation for the tangent line to the graph of fat x = 1.…

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Q: Determine where a function has a horizontal tangent Question Determine the value(s) of x for which f…

A: The function is given by,

Q: (a) find an equation of the tangent line to the graph of f at the given point, (b) use a graphing…

A: Given: fx=x-2x2+4.

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Q: 12. Let f be the function given by f(x) = 3e2* and let g be the function given by g(x) = 6x³. At…

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Q: Consider the function f(x) = 2x – 12x? mean slope of the function on this interval. 30x + 3 on the…

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Q: (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a…

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Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A: To find local extrema using first derivative test fx=-7x53+2x3

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

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Q: The rule of the derivative of a function f is given. Find the location of all points of inflection…

A: Second derivative is zero at the point of inflection of the given function.

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

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Q: 2) Find the equation of the line through the point (2, 5) with a slope of m = -. Graph the line on…

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Q: 17-18 Find the local maximum and minimum values of f using 18. f(x) both the First and Second…

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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: Consider the function f(x)=x3-6x+c where C is an unspecified constant. Suppose the line 102x-y=609…

A: f(x) = x3-6x+C slope  of  the tangent  is :…

Q: ind the coordinates of points where the graph of  f(x) = x4 − 4x3 + 5  has horizontal tangents

A: Givenf(x)=x4-4x3+5To find Co-ordinates of points where f has hoizontal…

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Q: 3. Analyze using the tools of Calculus and sketch the graph of x³-1 f(x) = Otherwise write “none."…

A: Given function is fx=x3-1x3+1y=x3-1x3+1 a) To find the x-intercept substitute y=0…

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Q: (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a…

A: Tangent line to fx=2x2-7, at 4, 5: fx=85x-75

Q: Consider the function f(x) = 5x - 4x on the interval - 4, 4. Find the average or mean slope of the…

A: Given: f(x) = 5x3-4x on the interval [-4, 4] Average or mean slope of a function f(x) over the…

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A: Given that, Price-demand equation is, p = g(x) = 150 - 0.3x Elasticity of the demand is,…

Q: Consider the function f (x) = x³ + 6x² I. f decreases on (-6,2) and increases on (-00,-6)U(2,00) II.…

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Q: Find all the x-coordinate(s) of all relative maximums and minimums of the function…

A: f(x)=(x+5)8(x-10)7 To find out maximum or minimum we take derivative with respect to x…

Q: Consider the function f(x) = 2x-9a2- 108x + 4 on the interval - 6, 10]. Find the average or mean…

A: average mean slope of the function f(x) in [a , b ] is f1(c) = fb-fab-a then we will equate above…

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Q: How do you solve question 8 and 9?

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Q: a. Find the local extrema of the function f(x)=csc^2(x)−(2/√3)cotx on the interval 0<x<π​, and say…

A: f(x) = csc2(x) - 23cotx          ; x∈0,πWe know: ddxcsc(x) = -csc(x)cot(x)ddxcot(x) = -csc2(x) At…

Q: 7. Determine the value/s of x, if any, where the tangent line to f(x) = 2x3 – 7x2 + x is parallel te…

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Q: The slope f^1(x) at each point (x,y) on a curve y=f(x) is given, along with a particular point (a,b)…

A: Finding  function  from its derivative

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Q: ind the maximum and minimum values of the function on the given interval y= x2+1/x-4,   [5,6]

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Q: Use the 4-step process to find the slope of a tangent line to the graph of the function f(x) = -x2 +…

A: [a]

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Q: Find the location of the absolute maximum and absolute minimum of the function on the interval [- 5,…

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Q: Consider the function f(x) = 2x³ – 9x? – 60x + 8 on che interval - 5, 10|. Find the average or mean…

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Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A: The given function,    f(x)=-7+20x2+10x33

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: Find the slope of the graph of the function g(x)= 6x at (4,4). Then find an equation for the line…

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Q: A function and its first and second derivatives are given. Use these to find each of the following.…

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