The graph below represents a function f and its first derivative. a) The graph of f is the colored one. I know that because the graph is crossing the x-axis where the graph of f shows tangent lines. b) Compare f'(-1) with f"(1) and complete the inequality statement f'(-1) f"(1) y

Q: The graph of a function f (x) is shown. List the letter(s) of the point(s) at which f '(x) 0.

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Q: 10. f(x) = tan² (4x³ - 1)

A: Given f(x)=tan^2(4x^3-1) We will find the derivation of f(x) as shown below

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: -4 -3 -2 -1 2 3 5 -2 -5 -6

A: Answer

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b > 0, n+ab=Θnb

Q: The following graph corresponds to f"(x), the second derivative of f(x). If the graph does not…

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Q: 4 -4 -3 2 4 -2

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2…

Q: The graph of the second derivative f"(x) of a function f is shown. State the x-coordinates of the…

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Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

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

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Q: Explain and sketch how a function can have f ''(a) = 0 at (a, f(a)) and not be an inflection point.

A: It is given that f''(a)=0 at (a, f(a)). The objective is to explain and sketch how a function can…