Can you help me describe the x-values at which the function is differentiable? (Enter the answer using interval notation.)

Q: Where is f(x)= x³ differentiable? (interval)

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Q: f(x) = Vx + 2 + 2

A: f(x)=x+2+2

Q: a. Find the absolute extrema of flx) = x2 – 3x + 3 on the interval

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Q: Consider the following function. y = x2  divided by x2 - 36 a.) Describe the x-values at which the…

A: Given:y=x2x2-36To find:The x-values at which the function is differentiable using interval notation.…

Q: The domain of the function y= f(x) is (Type your answer in interval notation.)

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: The given function is (x-1)25. We have to find out the value of x, where the given function is not…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given function is fx=y=9x-ln x Differentiate the given function with respect to x,fx=y=9x-ln…

Q: Is it possible for a function to satisfy f(x) > 0, f′(x) > 0, andf ″(x) < 0 on an interval?…

A: We want function that is: 1. positive on interval I since fx>0   2. increasing on interval I…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Determine the absolute extrema of the function f(x) = (x-3)ex on the interval -1≤ x ≤ 3.

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Q: f(r) = 2r² - e² %3D

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: Please note that differentiability is the third stage in the function investigation. First we need…

Q: Ex 2. Find the intervals of concavity for f(x)=x – 2.x³. 3

A: Given f(x)=x4-2x3 Differentiating with respect to x, f'(x)=4x3-6x2 Differentiating again with…

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx²…

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Q: Explain why you can not apply the mean value theorem to the function f(x) = x2/3 on the interval…

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

A: Given,          fx=x2+1x2

Q: f(x, y) = /4 – x² – y² + V1 – x? -

A: To find the domain of the function, f(x,y)=4-x2-y2+1-x2

Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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

A: Given, f(x)=x+1+1

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Identify any x-values at which the absolute value function f(x)=5|x+8|, is   not differentiable:…

A: Given: fx=5x+8

Q: Find the absolute extrema of the function on the closed interval. f(x)=6-x,   [-4,1]

A: Given function is, fx=6−x,   −4,1 To find the absolute extrema of the function on the closed…

Q: Determine the absolute extrema of the function f(x) (x- 4)e on the interval-1 <x<4. SHOW YOUR WORK!

A: We have given f(x) = (x – 4)ex on the interval -1 ≤ x ≤ 4.

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: F(X)=(X-4)2/5 F(x =2/5 (x-4)2/5-1

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

A: Definition used -                       A function f(x) is differentiable at any point -…

Q: what is the mathematical condition for the function to be continuous at a certain point c?  is the…

A: A  function is said to be comtiuous at a point x=c , in its domain if the following three conditions…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: Find the x-values at which f is differentiable. (Enter your answer using interval notation.)

A:

Q: Describe the x-values at which f is differentiable. f(x) = 3x/(x + 1)

A: Given function is: f(x)=3xx+1 As we know that, If a function is differentiable then it has no holes,…

Q: Describe the x-values at which f is differentiable x² - 5, f(x) 15-x, 2' 5 – x, x > 0

A: When x≤0 fx=x2-5 Left-Hand Limit  = limx→0x2-5=-5

Q: Find interval where f is decreasing

A: From the graph from t = 0 to t = 2   ;          f = 2 from t = 2  to t = 4   ;          f is…

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A:

Q: Does the Mean Value Theorem apply to f(x) = |x – 7| on the interval [1, 9]? Explain.

A: No

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

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: Locate the absolute extrema of the function f(x)=x'-12x on the closed interval [0, 3].

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Q: Explain the steps you would use to determine the absolute extrema of f(x) = x – e²× on the interval…

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Q: Sx² - 1, xs0 f(x) = l1 - x², x>0 x > 0 15 10 3. -10 -15

A: Given function is                                                           f(x)=x2-1   ;    x≤01-x2…

Q: Use the graph to determine the values of x at which the function is not continuous.   x=

A: Given the graph of the function

Q: -4

A: Function f is differentiable at x=a if and only if f'(a) exists. f'(x)= (2/5)(x-4)^(-3/5) f'(x) is…

Q: What kind of discontinuity does f(x) = *-3 have at x = 2? X-2

A: A function is said to possess non-removable discontinuity if the limit of the function does not…

Q: Describe the x-values at which f is differentiable f(x) = √(x + 1) + 1

A: We have to describe the x-values at which f is differentiable fx=x+1+1. We know that a function f is…

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

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Q: Determine where f(x): V4 - x2 is continuous. Express the answer in interval notation.

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Q: Find the absolute extrema of the function f(x) = x³ 23-a on the interval

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Q: Locate the absolute extrema of the function on the closed interval. 4. f(x) = x3 -x2 ,[-1,2]

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx²…

A: Let , the given functionThe given functionfx=x2-6 , x≤06-x2 , x &gt;0We have to find the x-values…

Q: What does it mean for a function to have an absolute extremevalue at a point c of an interval [a,…

A: When an output value of a function is a maximum or a minimum over the entire domain of the function,…

Q: Describe the x-values at which f is differentiable. Sx2 - 5, x 0 10 -1 0 1

A: Here, the given function is: f(x)=x2-5, x≤05-x2, x&gt;0 which is a piecewise function.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: