Using the criterion of the first and second derivatives, find the graph of the function b) F(x) = 3x³ - X %3D

Q: Find an equation for the tangent line to the graph of the given function at (3,2). f(x) = x² - 7…

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Q: the derivative of the function below using the quotient rule. y = Va + 8x7

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Q: Determine the point(s) at which the graph of f(x) =  -4x/square root of 2x-1   has a horizontal…

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Q: 1. f(x) = x² at x = 3

A: Given: f(x)=x2 at x=3

Q: A function f(x) has derivative f'(x)= 3x²+ 18x. The graph of f has an x- intercept at x = -1. Find…

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Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: the first and second derivative of  y=x/x2-4

A: Formula used:  If f(x) and g(x) are two differentiable functions,

Q: 1. Please use this formula in finding the derivative of a given function. (. b. Find the derivative…

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Q: Find the derivative. h(x)=2x^3−5x^2 / x+2 You must show

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Q: Using the criterion of the first and second derivatives, find the graph of the function a) F(x) = x³…

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Q: Find the derivative of the function using the definition of derivative. f(x) = x° - 5x + 9 f'(x) =…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Graph of derivative of function, f'(x), is given. y= f'(x) 1 5 7 8

A: We know that when f'(x) goes from negative to positive then f(x) will be decreasing and then…

Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4 – x² f(x) 7+ x2

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Q: Given f(x) : , find f'(-1) using the definition of a derivative. x-2 Provide your answer below: f'(…

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Q: Using the First Derivative Test, what are the local extrema for the function s(x)=−23x3+10x2−48x−1?

A: Given Sx=-23x2+10x2-48x-1

Q: f(x)= 4/x , x=3. Use definition of derivative as x approaches 0

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Q: poin Find the derivative with respect to x of f(x) = V2x + 6. f' (x) =

A: Given f(x)=2x+65

Q: Using the 2nd Derivative Test, find all relative extrema of f (x) = 2x - 3x-4. Justify your answers.

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Q: Find the absolute extrema of the function f(x) =x* - 32x + 256 on the interval [- 5,5]. Find the…

A: To find: The absolute extremum of the given function

Q: Find the function with the given derivative whose graph passes through the point P. f'(x) = 2x - 5,…

A: Given  f'(x) = 2x-5

Q: Find f'(x) using the rules for finding derivatives. 3x-4 f(x) = x-4 f'(x) =

A: fx=3x-4x-4 We need to find the derivative of the given function.

Q: 3. Use the second derivative to find the location of all local maxima for the following function and…

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Q: the first derivative of a continuous function y=f(x) is y'=x(x-12)^2 .find y'' and then use the…

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Q: Find a function f that has the derivative f (x) and whose graph passes through the given point. f…

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =…

A: Given: fx=x+2x-22=y To find the slope of tangent line at point (6,4) ,we need to find the value of…

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: -3 Find the derivative of the function f (x) = (2 – x*)

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Q: 12. Find f'(x) using the definition of the derivative.  f(x) = x3+ x

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Q: a. Use the definition of the derivative to show that the derivative of f(x) = 4x² - 2x+1 is 8x-2. b.…

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Q: termine the derivative of the function g(x) In x+ 10 %3D r- 10

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Q: Sketch the graph of the function ? = x3-6x2+12. Using the ff. First derivatives (critical…

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Q: Using the definition of derivative, find f' (x) for the function Let f(x) = x-3'

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Q: Apply derivatives to determine the critical points of the function ?=?(x−6)².

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Q: The graph of function f(x) is shown below. At which value of a is the derivative of the function…

A: The graph of the function

Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: f(x) = 2x² + 7x – 6. Find the first derivative of f(x) using the definition.

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Q: 1. The graph of function f(x) is given. Sketch the graph of the derivative function f'(x) below the…

A: We will sketch the graph of f'(x) as following. And also the question you asked is answered down…

Q: [4] For the Basic Absolute Value function f(x) = x, (a) state its slope (derivative) function (b)…

A: The absolute value function, |x| is defined as follows. |x|=xx≥0-xx<0   The graph of |x| can be…

Q: Using the First Derivative Test, what are the local extrema for the function h(x) = 3x3 – 9x2 – 72x…

A: It is given that,              h(x)=3x3-9x2-72x+9we have to find the local extrema of the function.

Q: the derivative of f(x) = x% (x% +x% + x%

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Q: The derivative of the function f(x) = -5x? – 16x + 22 by definition of derivatives f(x + h) – f(x) |…

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Q: A function f(x) has derivative f'(x) = 3x²+ 18x. The graph of f has intercept at x = -1. Find f(x).…

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Q: Apply your understanding of derivatives to determine any intervals of increase for the function…

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Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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Q: What do you look for when you need to match the graph of a function with the graph of its…

A: Observe the behavior of graph as the value of x increases.

Q: Using the definition of a derivative, find f' (z) given f(x) = -r +4x +4x +2. (Do not include"f' (x)…

A: Given, fx = -x3+4x2+4x+2  We have to find the value of f'x

Q: 6. Find all relative extrema of the function h(x) = -3x5 + 5x3 using the Second Derivative Test.…

A: Relative maxima and minima