Question 2 Find the second derivative of the function f(x) = x² - 3x and choose the correct answer. (Hint: Look at the example 1 in page 2 of the note of section 2.5). O f'(x) = 12x - 3 Of"(x) = 4x³ - 3 O f'(x) = 12x² O f'(x) = 12x - 3

Q: If f(x)= (x2-2) / (x+1) What is f' (2)? Write your answer as a simplified fraction.

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Q: In this post, you will use the first and second derivatives of a function (along with a few other…

A: We will  use relation between f(x) , f'(x) and f "(x) and asymptotes to find graph of f(x)

Q: Set f(x)= sin x. Show that finding f'(0) from the definition of derivative amounts to finding sin x…

A: f(x) = sinx

Q: Show that f (x) = x³ +1 is one-to-one and find its inverse function f-'(x).

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Q: Can you please answer this question and show all of the steps and say the correct letter

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Q: 2) What is the difference between f'(x) and f'(7) and how do you say out loud the expression f'(x)?…

A: Difference between f'(x) and f'(7)

Q: If f(x) = (x + 1)( x + 2), find f'(0)

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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: Find f'(-4) if f(x) = 4x. 3 f'(- 4) = (Simplify your answer. Type an integer or a fraction.) Туре

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Q: Let f(x) = 4 sec(7x) f'(x) =

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Q: 3. In your own words, using full sentences, describe how L'Hopital's Rule works. For example:…

A: we need to write down the working of L-hospital rule.

Q: Find the derivative. f(x) = 20x¹/2x20, find f(x) O 10x1/2-10x19 10x-1/2-10x10 10x1/2-10x10…

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Q: 3) Use the definition of the derivative (which involves limits) to calculate f'(2) given that f(x) =…

A: The function is given by fx = x-22+5 To evaluate: The value of f'2. Formula Used: The value of  f'a…

Q: For f(x) = 2": %3D f'(x) = 2" In(2) f'(2) - For g(x) = 3- 10": g'(x) = g'(3) 2

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Q: 3 Find the interval on which f(x) =x'e x- is increasing.

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