18) Match the graph with the correct function. (a) f(x) = -3 + In x (b) f(x) = 3 + In x (c) f(t) = In(t 3) (d) f(x) = In(x + 3)

Q: Determine the critical points for the function f(x) = x2/(x-1)

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

Q: d) A function with no absolute extrema but with a local minimum of -5 at x = 4 and a local maximum…

A: Follow the procedure given below.

Q: 4) Find the critical points of the function f(x) = x²- 9 x* + 15x +3 and identify their nature. Draw…

A: Given that: f(x)=x3-9x2+15x+3 The graph is shown below

Q: Find the local and/or absolute maxima for the functions of the specified domain. Y= 1/(x-x^2) over…

A: Here we have to use the concept of derivatives. Here we use second derivatives test for finding…

Q: Find a point c satisfying the MVT for the given function and interval. 2 y = x3 [0,8]

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Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

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Q: In 2009, the federal income tax T on income of x dollars (up to $82,250) was determined by the…

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Q: 3x-1 Find the critical points of the function f (x) = x+6

A: Here the given Any point x is said to be a critical point of the function f(x) if f(x) is not…

Q: Find the critical points of the function f(x)=2x^2−4x.

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Q: Find the critical points for the function in terms of b: Ax) = 3x-e

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

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Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: given S'x=150-x2C'x=x2+114x where S'x is the rate of annual saving and C'x is the rate of annual…

Q: Find the critical point for the function f(x)=-x² +3x+1

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Q: Find the critical point of the following function y= -x2 + 2x - 2

A: Given: The function y=-x2+2x-2, To find: The critical point of the given function.

Q: Find the critical points of the function f (x) = 2x³ – 9x² +12x+47. Show all your work.

A: Firstly we find the derivative of the function and then put it equal to zero and find the x values…

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above…

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Q: Find all critical points of the function: f (x) = 7x − 2

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: Given that

Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Find the positive critical point of the function f(x) = : 8+6 * x =

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Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We know that Critical points are points where the function is defined and its derivative is zero or…

Q: Find the critical numbers of the function.…

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Q: How do I find the critical numbers for the function f(x) = x2 – 4x + 2?

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Q: Find the positive critical point of the function f(x)=x/x^(8)+6

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Q: Find the critical numbers for the function f(x)=|3x-4|.

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Q: 7. What does the critical point(s) mean to the graph of the function? Determine the critical…

A: Critical points of graph of function points on graph of function where derivative is zero or…

Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

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Q: Find the critical points and the intervals on which the function y = -x3 + 12x + 4 are increasing or…

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Q: 12 11. Find the critical points of f(x) 4x? ). Then use the Second Derivative Test to determine if…

A: Here, we need to find the critical points of f(x)=x127x3-4x2. Now, f'(x)=6x2x-10xx and…

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

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Q: Find the critical points of the function x + 1 f (x) = (5 – x)² -

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Q: 4. Find all of the critical points of the function f (x)

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

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Q: 12. The graph on the right is NOT differentiable at x = 1. For what reason is it not differentiable?

A: Yes, given graph is correct.Given function:f(x) = x-1f(x) = -x+1        x<1x-1           x≥1

Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1

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Q: Find the critical numbers of the function

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Q: 6 Find the critical numbers of the function f(x) = x5 - * – 12x2 .

A: The given function is  fx=x65-12x12.

Q: Find the critical numbers of the function of f(x) = (x^3)/3 −16x

A: Given function is : fx=x33-16x To find the critical number of point.

Q: 13. Find the minimum and maximum value of the function on the given interval. y = 2x 2 + 4x + 5 [-2,…

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Q: B3(a): Find the critical points of the function f(x) = 6x² – 12x. %3D

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Q: 8. Determine a quadratic function f(x) = ax² + bx + c if its graph passes through the point (2,22)…

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Q: Find the critical numbers of the function. x – 1 | f(x) : x² + 4

A: The quotient rule of differentiation states that: d dxuv=vdudx-udvdxv2. At critical points of a…

Q: Find the critical points of the function f(x) = 4x° – 12x.

A: The given function is fx=4x3-12x. The critical points of any function is given by f'x=0.

Q: a) f(x)= x° (x – 4 )²

A: To find critical number of f(x)=x45(x-4)2

Q: Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.

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Q: х — 2 Consider the function f(x) = x - 4 Use the graphing utitlity to graph f. (x- 2) (x - 4) f(x) =…

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Q: 3. Consider the function f(x) = r - 1+x 1- a. Explain why, when evaluated in a floating point…

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