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: If y = x + 1* find f''(0)

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Q: What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O…

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

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Q: the derivative of a function f is given by f'(x)=((x^4)-1)/x^2. if f(1)=2, what is the value of…

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (f9)'…

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Q: Find f'(x). f(x) = (x* + 8) ¯º

A: Given : f(x)=(x4+8)-5.

Q: QUESTION 5 Find the derivative. y%3= + 8 sec x Oy'-2- 8 sec x tan x x2 Oy'- - 7. +8 sec x tan x Oy'=…

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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: Question 3: \( f(x)=\frac{1}{x^4}.) a) Evaluate f(x) dx. -1 b) Find a value of f(x) dx.

A: I am attaching image so that you understand each and every step.

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

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Q: QUESTION 16 Find the derivative. Find f'(x) for f(x) = (4x² + 3x)2. O f(x) = 64x³ + 72x² + 18x Of(x)…

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Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

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Q: Find the derivative of the function: y = (e**)e Oy = e (e*+ + 1) Oy - (e") (e*+* +1) Oy = (e…

A: We know that derivatives of  d(xn)/dx = nxn-1. And d(ex)/dx = ex.   Here i attached the solution of…

Q: The first derivative tells how fast a function is changing. That is, for a function f(x) and value x…

A: Define second derivative

Q: f(x)= 2x^3 + 12x^2 -270x The derivative of this function can be shown to equal f'(x)= 6x^2 +24x…

A: Given function f(x)=2x3+12x2-270x As per our  guidelines we are supposed to answer only  three…