f(x) (b) у- x? (a) y = x²f(x) 1+ xf(x) x? (с) у — f(x) (d) у -

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

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Q: Find all critical points for the function f(x) V(x2 - 4). %3D

A: Given function f(x)=x2-4  To Find all critical points of the given function.

Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. (2x3 + x +…

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Q: Find all critical points of the function f(x)=x√1−x2.

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Q: What are the values of a and b that make f(x)=ax+a+b+1  x>0 continuous and differentiable

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Q: Suppose that f(x) is a differentiable function and g(x)=(x+2)/f\x). If f(0)= 22 and f(0)=5, then…

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Q: Find all critical points of the function f(x) = x4 – x-

A: Critical point is 5/4 Explanation is given below

Q: The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the…

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Q: Examine f(x,y) = 2x2 - 4x +xy2 - 1 for relative extrema?

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y) = 2x2 - 4x +xy2 - 1 as follows. f(x,y) = 2x2-4x+xy2-…

Q: if f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable at (2,F(2))   true…

A: Given statement is If f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable…

Q: Lat f be a continous and differentiable function. If f'(c) = 0 then c is a local maximum or local…

A: Answer

Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

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Q: Find and classify the critical points of the function f (x, y) = 16x³ – 12x2 + 12xy? + 3y?

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Q: Find all antiderivatives of function:  f (x) = -4x

A: An antiderivative of a function f(x) is the indefinite integral ∫f(x)dx. Denote this antiderivative…

Q: find all critical points of the function f x = x^−1 − x^−2

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Q: Suppose that flx) is a differentiable function and g(x)=(x+2)/f(x). If f(0)= 22 and f(0)=5, then…

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Q: if x < 6 cx2 + 7x x3 - cx Let f(x) = if x 2 6. For what value of the constant c is the function f…

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Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

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Q: Is the function f(x)= x+|x|-1 differentiable at x=0.

A: Consider the given function:

Q: The annual revenue and cost functions (in dollars) for the manufacture of dining room sets are…

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

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Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: The critical points of the function f(x) 36z2 - 2x occur at 2- 0, r +4.00 0, z +2.40 %3D I0, z -…

A: We have to find the critical points of the function f(x)=36x2-2x4.

Q: Find the absolute extrema of the function on the closed interval.

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

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Q: Find the positive critical point of the function f (x) = x / x^4 + 4

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Q: Suppose that f(x,y,z)=x^2yz−xyz^3 is a function of three variables.

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Q: How can you sometimes decide from examining ƒx and ƒy that a function ƒ(x, y) is differentiable?…

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: Find the absolute extrema of the function on the closed interval.                    f(x) = x2 + 5x,…

A: Absolute extrema of the function on the closed interval occurs at a point where its first derivative…

Q: f(x,y) = y4 −2y2x−x2 +4x From the given function above, find all of its relative extremum points…

A: fwe have to find all of its relative extremum points and saddle points.

Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. 2x3 + x +…

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Q: Find the critical numbers of the function f(x)=x²5 (4− x)

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Q: Find the value of a and b that will make the function continuous. for x 1/2

A: The function f(x)=1x,        for x&lt;-1ax+b,  for  -1≤x≤121x,         for x&gt;12. We have to find…

Q: Differentiate. f(x) = 5x^5 - 8cos(x) f'(x) = ?

A: Given f(x)=5x5-8cos(x)

Q: Choose the numbers that represents the critical values of the function f(X). x 2x3 f(x)= -12x² 3 ロ-7…

A: to find:- critical points.

Q: If the function f(x) is positive, decreasing, concave down Then the antiderivative of f(x) is (not…

A: Given: The function fx is positive and decreasing  and concave down To find: The nature of…

Q: Let be a differentiable function such that f(3)=2.345 and f'(x)= ln(x^2+1).What is the value of…

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Q: Use algebraic methods to determine the critical value(s) of f(x) = x √4−x.  Give your answers in…

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Q: Find and classify the critical points of the function f(x, y) = x³ – 10.5æ? – y? + 5 - -

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Q: Sketch the graph of a differentiable function y = ƒ(x) through thepoint (1, 1) if ƒ'(1) = 0 and…

A: Consider the given condition as f'1=0 and f'x&lt;0 for x&lt;1 and f'x&gt;0 for x&gt;1

Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

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Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…

Q: If |ƒ(w) - ƒ(x)| &lt;=|w - x| for all values w and x and ƒ is a differentiable function, show that…

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below