9. f(x) = –e*

Q: y = In (x* + 5)³

A:

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: 62. Alabama Instruments Company has set up a production line to manufacture a new calculator. The…

A: Given thatdxdt=50001-100t+102dx=50001-100t+102dtwe will integrate from 2 to 4, because the beginning…

Q: 2. Show a graphical method of approximating the instantaneous rate of change at x = 3 for the…

A: You must have idea about what is the basic difference between instantaneous and average rate of…

Q: Estimate the instantaneous rate of change of P(x)=5/x+2 at the point x=2

A:

Q: If the instantaneous rate of change of ƒ(x) with respect to x is positive when x = 1, is ƒ…

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Q: 3. Solve the first derivative of f(x) = evx at x = 0.5 using centered finite-divided difference and…

A: To find the first derivative of f(x) at x=0.5 using centered finite-divided difference and a step…

Q: 5th derivative of y = log x^5 to the base 2

A:

Q: 2.) Investigate the derivate of the function ƒ(2)=Imz by using definiton of derivative.

A:

Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: 2. Suppose that the marginal revenue for a company manufacturing coffee machines is given by…

A: Given expression for marginal revenue of the company is: Q=100-0.5x where, Q is the marginal revenue…

Q: Differentiate f (x) = (ex + e-x)/(ex - e-x)

A: We have to differentiate the function: fx=ex+e-xex-e-x Here two function are in ratio so we need to…

Q: Shows the derivative function of: e3x+5

A:

Q: .

A: We will find the temperature.

Q: In (In e*1): What is the derivative of y 3z²+1

A:

Q: 5) Find the second derivative of f (x) = %3D ex plify your answer as much as possible

A: fx=1-2xexTo find the second derivative

Q: s projected that x years from now the population of a certain city will be changing at the rate of…

A:

Q: 7 Let f(x) x – 9 * Then according to the definition of derivative

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Q: What is the concentration of glucose in the bloodstream after 10 min if r =5 g per min, k = 5, and…

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Q: Compute Anti-Derivative (-1 --> 1)  (x^3 + x) / (cos(x) + pi) dx

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Q: Find the instantaneous rate of change of g(x) = In(x + 3) at x =

A:

Q: 3. The derivative of f(x) = In x at x = 3 when h = 0.002

A: 3) To find the true error and relative error of the function: f(x)=ln x, x=3 & h=0.002

Q: 8. Verify the Slutsky equation in terms of elasticities (equation ??) for the Cobb-Dougl utility…

A: Skutsky equation in terms of elasticities for Cobb-Douhglas utility function under such a related…

Q: 11. Show that if positive functions f(x) and g(x) grow at the same rate as x→∞, then f = 0(g) and g…

A:

Q: 15. What is the derivative of the function: F(x) = x cos(5x) F(x) = x cos(5x) F'(x) = (x)…

A: Solving

Q: 5) Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.…

A: The objective is to explain the reason definition of numerical derivative doesn't exist at x=2 in…

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

A:

Q: Suppose the derivative of ƒ is ƒ'(x) = x - 3.a. Find the critical points of ƒ.b. On what intervals…

A: We have to find: a. critical points of fb. On what intervals is f increasing and on what intervals…

Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

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Q: In an effort to make the distribution of income more nearly equal, the government of a country…

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Q: 2. Prove from the definition of derivative that for n EZ, d ng"-1 dr

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Q: 4 Find the first derivative of y = In X +

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Q: N= cos(5x) (SX メコ

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Q: Estimate the value of E1 (1/n²) value. to within 0.01 of its exact

A:

Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x2 + 6x +…

A: Given function is as below : c(x) = 2x2+6x+12marginal cost c'(x) =ddx2x2+6x+12…

Q: 4. Show that the derivative of log,(Va +5) is 3(r + 5) In(2)

A:

Q: 3. F(x) = " In(x) (4t + et) dt. Find the derivative of F(x).

A: Given, F(x)=∫1ln(x)(4t+et)dt To find : Derivative of F(x) By using the second fundamental theorem of…

Q: (a) Show that the derivative solution of this function y = x** is x(x*+x-1) [1+x In x (In x + 1)] dx

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Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…

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Q: show that the lim dose not exist x.y-00

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Q: Jesaki Inc will sell N units of product after spending $a thousand in advertising, as given by N=71…

A: Take the derivative both sides and substitute the values then simplify.

Q: 19. Determine the derivative of f(x) = e* coshx. O a. e2x O b. ex O c. e4x O d. e5x

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Q: 4. Use the first and second derivative to find the absolute maximum and minimum, if either exists,…

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Q: 1. Find the derivative of g(x): Int dt 1+t Cos

A: This will solve by Leibnitz theorem

Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4. ii, Find…

A: The objective of the question is evaluate area and find derivatives of given functions.

Q: 10.Anti-derivative of y(2y^2-3)^5

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Q: Suppose x and y are functions of third variable t. In the equation *-+) , what are the values of the…

A:

Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…

Q: Rank the functions x100, ln x10, xx, and 10x in order of increasinggrowth rates as x→ ∞.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.