Consider the following Total Revenue function R = 100 + 48Q – 4Q² | (a) Find the marginal Revenue function. (b) Give an interpretation of this function in economic terms. (c) Using differentiation, find the exact level of output, Q, at which Revenue is at a maximum.

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A: Consider the given function f(x)=−x2+4x−4

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Q: Find the derivative of a function at a certain number using the formula f(x) – f(x1) x-X1 x- x1…

A: Here's the solution, please have a look at it...

Q: the derivative of E(q) is-(q*(q^2-1))^-1. what's its global maximum and global minimum. Thank you!

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Q: 3. Suppose the function f has second derivative f"(x) = x2(x – 3)(x+2)*(? – 1). = T- (a) How many…

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Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

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Q: Find the derivative of the function. f(x) = (x³ + s ]Inx O a. x*(1+Inx)+5 O b. x'(1+31nx)+ 5 O c…

A: We have to check

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Q: 4. Find the value(s) of x at which the graph of the function g(x)=x'e has a horizontal tangent line.

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Q: 2. Given: y = f (x) = (2x-2 + 5x³). What is the slope (gradient) of the first derivative function at…

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Q: Use the graph of the first derivative function f'(x) to find x values at which function has relative…

A: First of all, consider the graph of f '(x).

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Q: (a) Develop a first-order method for approximating f" (x) which uses the data f (-2h), f (x) and f…

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

Q: Given the graph of derivative f'(x), find: a) Any interval(s) where f(x) is decreasing b) Any…

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Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: Find the critical points of the following function. Use the Second Derivative test to determine (if…

A: Given: z=fx,yz=x2+10xy+y2-----------------------Aim: To find each critical points corresponding to…

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1. dy 3) Using…

A: A).Givenx2+(y-x)2=9(y-x)2=9-x2y-x=±9-x2y=±9-x2+x -----{1}Taking positive of equation {1}y=9-x2+xNow…

Q: ) Given the following derivative function 2x – 5 f'(r) = Þ – I^ what are the critical numbers of…

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Q: Find the derivative of the function. (x) = In(4 – x®) r"(x) =

A: We have to find

Q: Find the derivative at the given point. f(x)= at x = 0 %3D x+1 O 1/4 O-1

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Q: 4. Find the equation of the tangent line and the normal line to the graph of the given function at…

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Q: 4) Find the values of x where the tangent lines to the graph of the function is horizontal. f(x) =…

A: a) Consider the function fx=xx2+16. To identify the x values where the tangent lines to the graph of…

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A: Given the function fx=xex.   The forward difference formula is given by f'a=fa+h-fah. The backward…

Q: 1. Suppose that the revenue (in dollars) from the sale of x units of a certain product is given by…

A: The revenue function is given by Rx = 70x-0.05x2 To evaluate: The expression of R'(x) using the…

Q: Find the derivative of the function. y = (x + 1)²(x² + 1) ~ 3 ...... - 2(x + 1)(2x² – 3x – 1) OA.…

A: Given:- y = (x+1)2(x2+1)-3 To find :- Derivative ol y

Q: Find f'(x) and find the equation of the line tangent to the graph of fat x = 1. f(x) = (2+5x)(5-4x)

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Q: The graph of a function is shown together with the tangent line at a point P. 10 9. 8. 7 6. 4. 3 2 1…

A: Here from Graph Red line tangent to given function f at point p  so derivative of f is equal to…

Q: B. Determine the slope of the tangent line at a given value of x. 6. f(x) = x 7. f(x) = -4x3 – 2. 8.…

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Q: Given the function f(x) = – x° – 6x2 + 5x + 12 , use either the First Derivative Test OR the %3D -…

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Q: Find the critical points for the following function. Then use the second derivative test to…

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Q: 1. Use forward and centered difference approximation method to estimate the derivative of the…

A: Given the function is fx=x3-2x+4. The forward and centered difference approximations to estimate the…

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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Q: 1. Find the derivative of the following functions: (а) у %3D 3x5 — 5х3 — 8х + 8 (b) y = x-5 + x-8 –…

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

Q: Find the critical point and the interval on which the given function is increasing or decreasing,…

A: The given function is fx=9x2+7. Note that, the denominator of the above function is not 0 for any…

Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: How do you solve question 10?

A: Given function is  By definition of derivative , we have

Q: 5) Use the tangent line at x = 9 to approximate the value of the function f(x)= Vx at x= 8.8.

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Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Use this definition to compute the derivative of the function at the given value. h(x) = 5x² + 1 X =…

A: We have to find derivative

Q: 3 Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope f(x) =

A: on solving this we get the

Q: 2. Use the definition of the derivative of a function at a number to calculate f'(8) where f(x) is…

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Q: Find the derivative of the function 4/ f f(x) = V (x – 3) at x = 2. f'(2) =

A: fx=x2-354⇒fx=x2-354 Differentiating with respect to x, we get f'x=ddxx2-354=54x2-354-1·dx2-3dx…

Q: Suppose the derivative of the function y = f(x) is y' = (x-9)2(x+6). At what points, if any, does…

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Q: (2) Assume that we have a Cobb-Douglas production function for a certain industry: Q = CL°K®, where…

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Q: 8 x - y a(x, y)

A: Given :- The given multivariable function is ax,y = 8x-yex2 +y2. To determine :- The critical points…

Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

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Q: Find the average rate of change of the function f(x) = x 5x - 1, over the interval [-1,3

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Q: 2. Consider the function f(x) = e¯*. -2x (a) Show that the derivative is f'(x) = %3D

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Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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