Where is the following function considered to be increasing? YA y= f(x) 3 -2 -1 0 2 3 X. -5 -4

Q: Describe the long run behavior of f(x) - 2? As x → - 0o, f(x) → ? As x → 0, f(x) → ?

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Q: FInd the derivative f(x)= (x-1)(x-5)2 +1

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Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: We will find the limit  x→∞ of the ratio of the two functions.

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: Suppose the derivative of a function  f isf'(x) = (x+ 1) 2 (x -3)5 (x -6)4. On what interval f  is…

A: f(x) will be increasing if f'(x)>0    We first find the zeros of f'(x) They are x=-1 , 3, 6

Q: Suppose the derivative of a function f is f'(x) = (x + 2)ª(x – 3)³(x – 4)6. on what interval is f…

A: f'(x) > 0  For increasing.

Q: 9 8 Find the derivative of f (x) = 2a4 + x2

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Q: Find the absolute extreme values of the function on the interval. 1) f(x) = tan x, - 7sxs6 4

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Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Let f(x) = 3 + 27x – x³.

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Q: Use limits to compute the derivative.   f ′(4) if f(x)=3x3 f ′(4)=?

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Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Find the derivative. F'(x) if F(x) = (ex³ + 8)ª

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Q: Find the derivative. F'(x) if F(x) = (ex² -3) 2² F'(x)=

A: use the natural log both side for finding the F'(x).

Q: Write a derivative formula for the function fx)- 12.2(4.7 x2 1.5475x(4.7-2( 4.7*) f'(x) 12.2 = X

A: Given

Q: Tryto guess functions that have the following as their derivatives. 2x

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Q: IT Aiswer Find the derivative of the function f(x) = 10arcsin(x- 9).

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Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

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Q: Sketch the graph of the derivative for function shown.

A: Plot the derivative for -∞<x<0. The function f(x) is constant in the interval -∞<x<0 so…

Q: In the given question as follows, find a function f that has the derivative f '(x) and whose graph…

A: f'(x)=6x-1   Passes through the point (2, 7);

Q: In the given question as follows, find a function f that has the derivative f '(x) and whose graph…

A: We know that, ddxxn=nxn-1. If the graph of a function passes through (a, b) then, f(a)=b.

Q: 9. If y varies directly as x, and y is 42 when x is 12 A) Write a function that represents this…

A: NOTE: Refresh your page if you can't see any equations. . to remove the proportionality sign we…

Q: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: Find the derivative of the function. F(x)=x^3-6/x^2+5

A: GivenFx=x3-6x2+5We have to find the derivative of the function .Rule apply :-Quotient rule…

Q: Find the function with the given derivative whose graph passes through point P f'(x)=1/4x3/4,…

A: To find the function with the given derivative that passes through the point (1,-2).The derivative…

Q: Let f and g be the functions defined for x > 0 by f(x) = (Væ)* and g(x) = (Vx)** Which function is…

A: According to the given information, Consider the function f and g defined as:

Q: are correct? The function is decreasing on the interval x > 4.

A: According to graph for x>2 slope = dydx increasesSo the function is increasing on the interval…

Q: h(x) = In (a- 7) (r +3)

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Q: Find the extreme values of the function f on the interval [3,4]. (x^4)+(4/x)

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Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

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Q: X+1 5) Is the function given by f(x) x2 - 8x + 15 continuous at x = 3? Why or why not?

A: f(x)=x+1x2-8x+15

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: For what value of the constant c is the function f continuous on (-∞, 0)? if x 5 C = Need Help?…

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Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: Suppose the derivative of a function f is f'(x) = (x - 7) (x + 9)° (x – 2)8. On what interval(s) is…

A: Given , f'(x)=(x-7)6 (x+9)9(x-2)8

Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: Consider the following function.  f(x)=

A: Given function is: fx=x89+2 (a) Make a sign diagram for the first derivative.

Q: Find the derivative of the function (2а — 5) (5ӕ — 4) - f(æ) : 9x2 – 2 f'(x) =

A: The objective of the question is determine the derivative of the given function.

Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

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Q: Suppose the derivative of a function f is f'(x) = (x + 2)°(x - 4)5(x - 7)8. On what interval is f…

A: Given,

Q: Find the first if the following function f(X) from the first principle xsinx

A: First principle of derivative.

Q: Suppose the derivative of a function f is f '(x) = (x + 1)2(x − 2)7(x − 3)4. On what interval is f…

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Q: Which of the following functions passes through the point (0,12) and satisfies f'(x)=8 ?

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Q: Use the second derivative test to find the extreme values of the function f(x) = x³ – 3x? – 24x . -

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Q: Which of the following functions grow faster than x2 as x→ ∞?Which grow at the same rate as x2?…

A: Let f(x) and g(x) are two functions. 1) If limx→∞fxgx=∞ then f(x) grows faster than g(x) as x→∞. 2)…

Q: Find the derivative of the function. f(x) = 10/((x ^ 2 - 4) ^ 4)

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Q: Determine f' (x) when x =2 if f(x) = 2* –3-x Give an answer correct to 3 decimal places.

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