Find the coordinates of points where the graph of f(x) = -x³ + 6x2 – 9x + 14 has horizontal tangents. As a check, graph f(x) and see whether the points you found look as though they have horizontal tangents. (x, v) -(| (smaller x-value) (x, V) = (| (larger x-value)

Q: Find the slope of the graph of the function at the given point.                         f(x) = 3x2 −…

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Q: Sketch the curve: f(x) = x* – 6x²

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Q: What is the maximum point on the curve = 2 + 12? − x3

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Q: Find the points on the graph for the function at the value f(x) = 3. x2 7x + 12

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Q: Find the X value of the pints of inflection on F(x) = X3-6X2+12X and discuss the concavity of the…

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Q: Sketch the graph of the curve f(x)=3x³ - 3x + 2

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Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+6) at (2,8). The equation of…

A: This question is based on application of derivative to find slope of tangent line.

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Q: Using the second derivative test, find whether the function: x^3-9x^2-48x+52, has a local minimum or…

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Q: Given the function g(x) = – 2x* + 7x" +x2 + r - There are at most x-intercepts, and based on the…

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Q: maximum number of turning points possible for the function f(x) = 9x* + 2a³ – 6x – 5, is

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Q: A team of researchers finds that there is a relationship between the overall health of a forest…

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Q: A quadratic function is given f (x) = x^2 -6x. In standard form f (x) =(x-3)^2-9. If the vertex is…

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Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y…

A: Given that: y=8x2+9x-7

Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x+13 where x…

A: The function P(x) of a company selling x items is Px=x3+9x2-15x+13

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Q: Consider the function f(x) = 4/¤ + 2 on the interval [4, 5].

A: Given function is, f(x)=4x+2

Q: The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2…

A: The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2…

Q: The graph of f(x) = where these horizontal tangents occur? 2x+3x – 120x + 20 has two horizontal…

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Q: Use the function’s equation f(x) = -x2 + 14x - 106, and not its graph,to finda. the minimum or…

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Q: Find the x- and y-intercepts of f and sketch the graph. Approximation of graph will suffice. 1) f(x)…

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Q: The graph of y=f(x)= ^3 √x -9 is horizontally stretched away from the y-axis by a factor of 3 to…

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Q: Sketch the curve. Show your solutions. f(x) = x4 - 6x2

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Q: concavity, points of inflection, local maxima and minima

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Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

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Q: use secant method (root-finding method) for the function f(x)=x^2-3

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Q: ) Sketch the curve: f(x) = x* – 6x²

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A: Let's find.

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Q: positive root of  x3  -x-3 = 0 ,

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Q: absolute extremum of the function on the given interval.

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Q: Solve no 73

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Q: Please

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Q: i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2. b. Give an…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.