Use the first and second derivative to graph the following function. Label all critical points, inflection points, and determine the long term behav- ior of the graph. Include ALL relevant work including number lines, any calculations, and any limits taken. y = 4x3 – 4x2 – 8x

Q: Find the value of the derivative (if it exists) at each indicated extremum

A: Given: The function is  fx=-3xx+1 And the extremum of the function is point -23, 233

Q: Given the derivative f′(x), find the x-value for all relative extrema for the graph of the original…

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Q: In the given eqaution/s, find the derivative of the function:-   y = 1/x - 2

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Q: The fifth derivative of the function f(x) = 5x° is a constar False O True

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Q: Calculate the derivative by expanding or simplifying the function. P(s) = (4s − 3)2

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Q: Find the derivative of the following function F(x)=(from x^3 to x^4)∫(2t−1)^3dt

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Q: Find the value of the derivative (if it exists) at each indicated extremum

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Q: Find the derivative of the following functions. F(x) = √²** 1. √/20162). 2. G(x) = 3. H(x) = L √t³ +…

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Q: Consider the second derivative graph, y = f"(x), %3D given below. Which of the following statements…

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Q: Find the value of the derivative (if it exists) at each indicated extremum

A: Given: fx=x+223 Now differentiate the given function with respect to x we get,…

Q: = Use the data in the following table to calculate the first derivative f'(6) (using forward,…

A: Note: Since you have posted a question that is time-consuming in computation and lengthy, we have…

Q: Find the value of the derivative (if it exists) at each indicated extremum.          f(x) = x2/(x2 +…

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Q: Evaluate the derivative of the following function.  ƒ1w2= w2 - tan-1w2

A: To determine:Derivative of function f(w)=w2-tan-1(w2)

Q: Find the given higher-order derivative. F(3)(x) = Vx², f(4)(x) f(4)(x) =

A: Given that, the higher order derivative f(3)(x) = x23 To find the higher order derivative of f(4)(x)…

Q: Evaluate the derivative of the following function at x=0: f (x) = (e³* + x)+ 4. O 16

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Q: find the derivative of the following function 6. y 4 1 2 3 4 5 7 8 9 10 -1 -4

A: Derivative of function from l graph

Q: b) f(x) = xe

A: If f(x) is a function of x and the second derivative of f(x) exist at any stationary point x0.1.If…

Q: Use the second derivative test to find the relative extrema of the following function. Make sure to…

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

Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

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Q: Calculate the derivative by expanding or simplifying the function. s(t) = 1 - 2(7t) / (7t)^1/2

A: Given function st=1-27t7t The given function can be written as: st=17t-2·7t7t=17t-2t=17t-12-2t12…

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Q: Determine for what values of x the function f(x) = 32 ln(x) − x^2 + 6x − 5 has a tangent line with…

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Q: Evaluate the derivative of the following function at x=1: x2 f(x) X+1 4/4 2/4 3/4 1/4

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Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

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Q: 9. Find the derivative of the following functions (show all the steps for full credit): D f(x) = =…

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Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value…

Q: ) For each of the following, use the product rule to find the derivative function. d) f(2) = +1 x2…

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Q: Find the critical points of the following function. f(x) = X +49 What is the derivative of f(x) = x…

A: The critical points of a function are the points where f'(x)=0. To differentiate the given function…

Q: Find the average rate of change for the function between the given values. 17) f(x) = x2 + 6x; from…

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Q: Find the derivative at each critical point and determine the local extreme values. y = x23(x2 - 4);…

A: Given:- y=x2/3(x2 -4) To find:- Critical point and local extreme value of y for all x≥ 0

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Q: Use the quotient rule to differentiate the following function: 9/7 – 20 f(x) 4VE +8 f'(z) = HINT:…

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

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Q: Find the value of the derivative (if it exists) at each indicated extremum.           f(x) = (x +…

A: Given:fx=x+223

Q: Compute the first and second derivatives of the following functions of x. In each case, determine…

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Q: Use the second derivative to determine the intervals on which the given function is concave up and…

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Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x).…

A: Given:   f(x) = - 2x + 5    At x = 5

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: Given function is fx=x44-5x33-4x2+48x. For critical points we need to find first derivative of…

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Q: Given the graph of the function f(x) below, estimate the derivative of the function at z = -2.…

A: As we know that, The derivative of the function at a point is equal to the slope of the tangent line…

Q: find the derivative of the following function using the definirion of di fferentiatlon methol. Px)=…

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Q: 5x Use the derivative to find where the function is increasing y = X+1

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Q: Find the value of the derivative (if it exists) at each indicated extremum.         g(x) = x + 4/x2

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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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Q: Find all possible functions with the given derivative. f'(x) = x* f(x) =O

A: To find out the function.