True of false? Iff is a function, then f(s+t)-f(s) + f(t).

Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = 2((x – 1)² + 1)? It is…

A: Given query is to find the transformation performed.

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist? (show full…

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Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: topic - application of derivatives

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Find two nontrivial functions f(x) and g(x) so f(g(x))=(−4+4x)^4 outside function f(x) = ? inside…

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Q: Describe the x-values at which f is differentiable .

A: Given: fx=x2x2-4 To find the points where the function f(x) is differentiable.

Q: What are the values f(4) and f 0 (4)

A: Given Data: Graph: y=fx Point 1: Ax1, y1=A4, 3 Point 2: Bx2, y2=B0, 2   The value of f4 will be…

Q: Where does the relative maximum value of f occur when f' (x) = x³ – x ? (а). —1 (b). О (c). 1 (d). 2

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Q: What happens to the function f(x) = (x – 1)² +1 when it becomes f' (x) = } ((w – 1)² + 1)? It is…

A: We have to find out the transformation

Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

A: we have to check

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: f(r) = 2r² - e² %3D

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Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: Find and classifythe extreme Point of the function f(x,y)= 3yx+x -3*2

A: Given function,  fx,y=3y2x+x3-3y3-3x2+2 Partially differentiating w.r.t. 'x' to both sides-…

Q: For what x-value(s) is this function not differentiable? x² – 9 f(x) x + 3

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

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

Q: Find the relative extrema of the function, if they exist. f(x) = 1 %3D

A: Given,          fx=x2+1x2

Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

Q: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: What is the relative extrema for the function f(x,y) = -x^4 - y^4 ?

A: Given function is f(x,y)=-x4-y4 Find the relative extrema

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

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

Q: Differentiate the function. f(z) = ez/(z-8)

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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: Let f(x) = e*. What is f' (3)?

A: Differentiate wrt x

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

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Q: Try to guess a formula for f' (x) where f (x) = 2*. f' (x) =

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Q: (2) For the function f(x) = -x² – 24x +19

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Q: X- e.

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Q: Does knowing that a function ƒ(x) is differ-entiable at x = x0 tell you anything about the…

A: Given:Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

Q: What is the range of the attached function?? Is it f(x)<=3/4 or f(x)>=3/4

A: Given the funciton f(x)

Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = ((x – 1)² + 1)? O It is…

A: We have to find out the rule

Q: Find values of x where the function is not differentiable f(x)=lx-2l+3

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Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…

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Q: y = f(x) 2+ -1 Part: 0/ 10 Part 1 of 10 (a) As x -00, f(x) → 00 -00 8.

A: The graph of the function is given by To evaluate : The behavior of the graph of the function as x…

Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

A: Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

Q: w do I differentiate the function f(z)=e^(z/(z-6))?

A: fz=ezz-6Apply the chain rule dfzdz=dfdu.dudz→1f=eu and u=zz-6dfdu=eu→2

Q: A rancher wants to enclose an area of 3000000 square feet in a rectangular field and then divide it…

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Q: Let f(x)=e^(0.5*x). What is f'(x) when x=0.3?

A: we have to find the derivative of f(x) at x=0.3

Q: Find all relative extrema of the function f(x) if f'(x) = (x – 3)(x - 5) %3D

A: The given derivative of the function f(x) is To find the critical point of the function, put…

Q: 1. Find the relative extrema (if any) of the function f(x) = xª – 12.x3. %3D

A: In this question we have to find the relative extrema of the function.

Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: 2. Usc the Definition, f'x (x th)- fCx), to find ん the derivative for the function f(x) = - -9x+5 =…

A: According to the definition of derivative of a function fx,…

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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Q: The cost of producing x ounces of gold from a new gold mine is C − f (x) dollars. (a)  What is the…

A: To determine the following:Part 1. a) The meaning of f’(x) and its units.Part 2. b) The meaning of…

Q: Find the inflection point(s) of the function  f(x) = 5e−(x^(2))

A: