> Question 2 of 16 Find the rate of change of the reciprocal function f(x) = - with respect to x when x = 16, 17, and 18. (Use symbolic notation and fractions where needed.) f'(16) f'(17) f'(18)

Q: 1. Find the instantaneous rate of change when x=π for y=sin*x/2-3cosx.   2. Interpret geometrically…

A: Simply take the derivative and put the given point to find the instantaneous rate of change.

Q: 1) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)

A: Given: Y = (2x2+1)(2x-3)

Q: Estimate the instantaneous rate of change of h(x)= 5/x−3 at the point x=−3 Your answer should be…

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Q: Find the rate of change of 1/x with respect to x when x=2

A: f(x)=1xrate of change of 1/x with respect to x isdf(x)dxdf(x)dx=-1x2

Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

A: average rate of change= -7 for detail...go through the solution

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

A: We are given that : y = -5x - x2 We need to calculate the average rate of change of the above…

Q: kel derivative

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Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

Q: The length of a rectangle is increasing at the rate of 4 cm/sec, while the width is increasing at…

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Q: The population of a certain kind of insect change directly proportional to its present population at…

A: The growth model will be modeled by : P(t)=P0 ekt  where, P0 : initial population P(t) : population…

Q: 10) Using the First Derivative Test, what are the local extrema for the function 5(x)==x²+10 x³…

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Q: 1. Related Rates: Find when x dt dr

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Q: 1. Centered-difference formula for the second derivative with one independent variable x y (x + h) –…

A: Claim: y''(x) = y(x+h)-2y(x)+y(x-h)h2-h212y(4)(ς) It is known that y = (x-∆x) =y(x) -∆xy'(x)…

Q: 1950, a seed was planted same as the year as Jilian was born. When she celebrated her debut, the…

A: Given Information - Height of the tree when Jilian was of 1 year = 5m Height of the tree when Jilian…

Q: Can you help me with this problem step by step?

A: The equation is given by

Q: The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder…

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Q: MY A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

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Q: HOW DO YOU FIND THE DERIVATIVE

A: Given an equation of y in terms of x as shown below.Here we need to find the derivative of y with…

Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

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Q: On [-8,0] the value of the first derivative of f(x)= x^2 is positive. True or False?

A: The given function is fx=2x2. Obtain the first derivative of the function as follows:…

Q: a, b, and I are differentiable functions of the same variable what is the derivative of H ac b +…

A: To find the derivative of acb, here a,b and c are differentiable function of same variable. Let a,b…

Q: Find the derivative if f(x)= ((x/2) + (x √x))ex

A: The given function is fx=x2+xxex. Obtain the derivative as follows.

Q: The tangent line at x = 5 to the graph of f(x) = x passes through the points (5, f(5)) and (6, 200).…

A: Given, f(x)=x³ Therefore, f(5)= 5³= 125

Q: A tank that contains 20 gal of water in which 3 kg of salt has been dissolved completely is to be…

A: Given Volume of water=20 gal  Amount of Salt=3kg Rate of pump in =4gal/min  Rate of pump out=4…

Q: A steel plate is in the shape of a right triangle. Its height is decreasing at the rate of 0.5…

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Q: The maximum rate of change of the function 1 f(x, y) = at the point (1, -2) happens in direction of…

A: I have find the direction and value of maximum rate of change of given function and say that given…

Q: (5) Match the graphs of the functions to the graphs of their second derivatives. Original Functions…

A: Given: a function their derivative.

Q: 7. y = 4 e2x, 4th derivative 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative

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Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: 3. The radius of a right circular cone is increasing at the rate of 6 cm/sec while its altitude is…

A: Given: The radius of the cone is increasing at the rate of change is 6 cm/sec that is drdt=6, and…

Q: 3. Suppose a car travels at a constant rate of 70 kph for 2 hours and travels 55 kph thereafter.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Find the average rate of change of the function f(x)= cos² x from x =- x = ". Use to - exact…

A: Rate of change=f(b)-f(a)b-a Given:  f(x)=cos2x, x=-π6,π4

Q: sinh x O Compute the derivative of f(x) = (cosh x)

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Q: 1.Find the derivative of the function y = cosh*x – sinh“ x - 2.Find the derivative of y = In cosh x.…

A: Q1)   Given  y= cosh4x -sinh4x         As per our guideline we supposed  to answer only first…

Q: Molar volume is a function of temperature and the pressure or V = f (T, P) ; and its total…

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Q: I'm having a hard time understanding what this study question is asking...   "If you can’t find…

A: When both the denominator and numerator will equal zero at a given point then we can use L'Hopital's…

Q: 9. The altitude of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

A: Area of triangle = 12×b×h Where b is base and h is height . And height of the triangle is equal to…

Q: QUESTION 1 Compute the average rate of change of the function, f(x)=7x-6x - 4860 -, over the…

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Q: 4. The radius of a right circular cone is increasing at the rate of 6 cm/sec while its altitude is…

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Q: 3. Give an example of a situation in which composite differentiation might be used. Give examples of…

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Q: Graphically, the instantaneous rate of change of a function at a specific x-value can be estimated…

A: Given: The below four statements are given: (a)Determining the slope of a single secant line on the…

Q: The maximum rate of change of the function 1 ----> at the point (1,-2) happens in direction of and…

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Q: ³ _ x + 2y x-2y find first derivative X = to

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Q: The maximum rate of change of the function 1 f(x, y) = Select one: True O False - X - y at the point…

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Q: 5. Give the average rate of change over the interval 0 <x< 5

A: Given that y=x+2x-2find the average rate of change over the interval 0≤x≤5

Q: Find the instantaneous rate of change of f(x) = x* at x = 3. %3D Find the derivative of g(x) = x + x…

A: 1) Given, f(x)=x2 at x=3 Use the definition of instantaneous rate of change: The instantaneous rate…

Q: The length of a rectangle is increasing at a rate of 5 cm per second and its width is decreasing at…

A: Given- dldt=5cm/sec, dwdt=-3cm/sec To find- The rate of changing of the area when the length and…

Q: A hot object is placed in a room whose temperature is 69°F. After 1 minute the temperature of the…

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