Use the table of function values to evaluate f(x) at x = 1 dx 8(x) 1 f (x) f'(x) 2 -2 1 1 4 1 g(x) g'(x) 4 2 4 3 -5 -3 7 O A) O O B) -1/3 O C) 1/3 O D) 1/6 E) 1/36 45 3. 23

Q: # f(x) = (2 )2 what is f'(-2)7 If f(x) = 2-2х 2 2x+2 %3D

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Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) > 0 and f"(x) <…

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Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

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Q: 6 f(x) = 7 + find f'(x). Find f'(2).

A: As we know that: The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: fx=7+6x+2x2

Q: Differentiate. y' = || y = eP(p + p√p) X

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Q: B)ls w = z²1² analytical function or not?

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Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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Q: Consider the following function: Step 1 of 4: Determine ƒ'(x) and ƒ"(x). f(x) = (x − 1)(x+8)² Answer…

A: Step 1:To determine f′(x) and f′′(x) for the given function f(x)=(x−1)(x+8)2, we can use the product…

Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

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Q: Find (f-')'(@). 3 f(x) = x + x < 0, a = - 4 (f-1)'( – 4) = Preview

A: The given function is f(x)=x+3x and a=-4

Q: The one-to-one function f is defined below. f (x) = V3x-8 1 Find f'(x), where f' is the inverse of…

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Q: Differentiate f(x) = -O.1x - 0.15x³ - 0.5x² - 0.25x + 1.2 at x = 0.5

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Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

A: Given:- If f(4) = 8 and f '(x) &gt; 1 for 4 ≤ x ≤ 9 To find:- How small can f(9) possibly be?

Q: 2 7. Evaluate f' (-1) for f(x) =- x X3

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Q: For the given functions f and g, find the requested composite function. 5 3) f(x)=- x+6' 8(x) = Find…

A: The given functions are; f(x)=5/(x+6), g(x)=3/4x

Q: True or false: If f is a differentiable function, then de [f(x³)] = f'(3x²) dx

A: The objective of the question is to verify the given statement about the derivative of a function…

Q: Write all answers with numbers rounded to two decimal places. In Calculus the derivative of…

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Q: Entered Answer Preview 42 - 3°(In(3) +1) 64255.3 2x Let f(x) = 4x2". Find f'(3). %3| f'(3) =…

A: This question is based on Derivative of function.

Q: What is the second derivative of y + Incosx = 0 * O (cos x) ^2 O 1 O (sec x)^2 tan x

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Q: 5. use the four- step procedure to find f'(x) 1 b) f(x)24x 2 a) f(x)

A: Use four-step procedure to find derivative of f(x).

Q: Given the attached function below, what is f’(1) f’(1)

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