Suppose that it is given to you that f'(x) = (x+6)(12 - x)(15-x) Then the first relative extremum (from the left) for f(x) occurs at x = at this point. The function f(x) has a relative ? The second relative extremum (from the left) for f(x) occurs at x = The function f(x) has a relative ? at this point. The third relative extremum (from the left) for f(x) occurs at x = The function f(x) has a relative ? at this point. The first inflection point (from the left) for f(x) occurs at x = The second inflection point (from the left) for f(x) occurs at x =

Q: The graph of the derivative of f is shown below: -y-5 4 -3 -2- -1- 0 1 2 f'(x) 3 4 f', the…

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Q: (a) tive of f(r) = r at z = a. Find the value of a given that lim, 8+h)* – 64 represents the deriva-…

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Q: 1 Suppose that f is a function given as f(x) We will compute the derivative of 2x +3 follows. First,…

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Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

A: To find the derivative of each of the following functions.

Q: For the function f (x) = 2-x² – x² +x, (a) List the x values where = 0. (b) Are all of these values…

A: Consider the given function, f(x)=2x4-x2+x Find the first derivative of the given function,…

Q: For the function f(x)=x to the power of 2+1 when x=2 the f(×)

A: Given,             For the function fx=x to the power of 2+1.To find : The value of fx when x=2.

Q: The time for a chemical reaction, T (in minutes), is a function of the amount of catalyst present, a…

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Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

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Q: you agree with the contention that the functions f(x)= x +2 and g(x)= x2 -4/x-2  are the same in…

A: Yes i agree with the contention that the functions f(x)= x +2 and g(x)= x2 -4/x-2  are the same in…

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: f(x) = 2 sec (-) + 1 2

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Q: #4. Determine the following attributes of f(x)= log,(3x+1)+2. a) `Find the x-intercept(s) of fx).…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: Determine the equation of the line tagent to the function f(x)=x(5-x)4 at x=3

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Q: A function f is defined by f(x) = 5x + 2. Find the following. (a) f(0) (b) f(4) (c) f(-2)

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Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

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Q: Assume that the function f is a one-to-one function. (a) If f(5) = 2, find f-'(2). Your answer is…

A: Given that to he function f is one-to-one function.

Q: f(x) = (2x − 1) (x³ — 2) ²

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Q: Let f(x)=(x-3)/(x2-1).  What can you say about the long-term behavior of f?

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