2-Find the instantaneous rare of change for the above function at X = 3

Q: - The average rate of change of the function f(x) = x? between x = 1 and x = 5 is average rate of…

A: The average rate of change is the rate of change of one quantity depending on the change of another…

Q: Find f  ' (x)  if f(x) = ln |x |

A:

Q: čônčěntrátion enters the tank at 20 kg/min and the mixture leaves the tank after complete mixing at…

A: Given Mass=1000 kg of a 10% salt solution Tinput=2okg/minute→2o% concentration Toutput=1okg/minute…

Q: 8. Suppose the derivative of the function y = f(x) is y' = (x – 1)*(x – 2)(x – 4). At what points,…

A:

Q: 4x - 4 if x > 2 Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

A:

Q: Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide.…

A:

Q: The function represents the rate of flow of money (in dollars per year) over the given time period,…

A: Given that, The function of future value is  f(t) = 2000  rate, r = 3% = 0.03 time , t = 3 years  To…

Q: Let ff be the function given by f(x)=2x3−5x2+8x+1f(x)=2x3−5x2+8x+1 on the closed interval…

A: According to question, Given function, fx = 2 x3 -5x2 + 8 x + 1

Q: following

A:

Q: 2х + 1 f(x) : х+ 2

A: Given:…

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

A: Concept: Trigonometry is used in finding distance and angles, there are six trigonometric ratios and…

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

A: fx=x2  &amp;  gx=2x Concept used: Let fx &amp; gx be positive for x sufficiently large. fx grows…

Q: The difference between f'(3) and f'(x) is that f'(3) is a numerical value and f'(x) is a function of…

A: Explanation of the answer is as follows

Q: Find the instantaneous rate of change of the function at the specified value of x. f(x)=(x−3)/(x+5)…

A: Given data:     The given function is: f(x)=(x-3)/(x-5).   The expression for the rate change of the…

Q: (b) Sketch the graph of f (x) = ln(4 – x²). Use the first and second derivatives to identify where…

A: Consider the function  fx=ln4−x2

Q: Find the rate of change of the function f (x) = (x + 1)/(1 - 5x) with respect to x when x = 1.

A: The given function f(x) - f(x) = x+11-5xRate of change of function is given by ddxf(x) =…

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: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

A:

Q: Find the net change and the average rate of change of f between x -5 and x = 6.

A: We have given the graph;

Q: 5 .Let f(x) =x² -e*. Find the value of x for which the second derivative s"»equals zero. 2

A:

Q: 34. Draw the graph of the derivative. The graph of f (x) is provided.

A: Given

Q: Find the average rate of change of the function from x = 1 to x = 2. f (x) = - 14

A: Using function notation , we can define the average rate of change of a function f(x) from  x = a to…

Q: The graph below is of f "(x) for some function f(x) with domain (-∞, ∞) (i.e., the graph of of the…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 7–46 Find the derivative of the function. 8. F(x) = (1 + x + x²)9

A:

Q: Find the relative rate of change of f(x) at the indicated value of x. f(x) = 3x - In x; x = 5

A:

Q: Which of the following is a valid formula for the instantaneous rate of change of the function…

A:

Q: Find the average rate of change of the function from x = 1 to x = 2. 10 f (x) : x2

A: first we differentiate function then we put limits

Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: f(x+0.0001)-f(x) Use 0.0001 f(x) = -3x² 6x at x = -5.9 6.1 -6 6 4 to determine the instantaneous…

A: Sol:- To find Instantaneous rate of change of  f(x)= -3x2-6x  at x =-2 We have to use the following…

Q: determine the instantaneous rate of change for the function f(x)=7^x + 9log(x^x) at x=4

A: This question can be solved using the concept of derivative of a function at a point.

Q: 5. Which of the following functions grows the slowest as x goes to infinity?

A:

Q: Match the graph of the above function with the graph of its derivative. O O O O O Customize and…

A: Given Graph

Q: 4)Find the inflection points of the function . f(x)=ln(x^(2)+1)

A: In this question we will find the point of inflection   we have given function   f(x)=ln(x2+1)…

Q: Find f''(x) for: f(x)=ln⁡x/4x

A:

Q: 4. Find all derivatives of f(x) = x*, where k is some unknown natural number.

A: f(x) = xk and we need to find all the derivatives of f(x)

Q: Yes or No? If No, give a reason.

A: Given: Average rate of a function is secant lineTo find: Can the average rate of change of an…

Q: 4. The graph of the first derivative f'(x) of a functionf is shown below. At what values of x does f…

A: Given graph of f'(x) is The value of x where f'(x)=0 are called as critical values where extrema…

Q: A manufacturer has determined that the weekly profit from the sale of x items is given by the…

A: SOLUTION-

Q: 5. Find a function f(x) whose derivative is f'(x) = +1. (Hint: (x + 1)/x=1+1/x)

A: 5) derivative of a function is given, to find the function we have to find the anti derivative of…

Q: (a) Find the derivative f'(x) of the function f(x) = (b) Graph f(x) and f'(x) side by side using…

A:

Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the…

A: The function that represents the continuous decrease in number of crimes is given by:

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: 7. If the number of bees in a beehive are modeled by the function b(t) = te +1 thousand bees, where…

A:

Q: 5 Let f(x) =x -e*. Find the value of x for which the second derivative f“equals zero. 2

A:

Q: 3. Use the graph of y = f (x) shown to sketch the graph of its derivative f'(x). [if on your own…

A: Give function f(x) has graph If you see this graph you will observe that derivative of f(x) will be…

Q: 10.The graph of f'(x), the derivative of f, is given below for -6 Sxs7.On what intervals is the…

A: Option (c) is correct Because f'(x) is greater or equal to zero in that interval. Or we can say…

Exponential Growth Model

The relation that represents an exponential function is: