Question 1 -x Consider : f(x) = e ?, f'(x)=-xe -e Find for f(x): a) The critical number(s). b) The absolute extreme value(s) if exist. c) The inflection points.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: We have to find the absolute maximum  and minimum value of the following function over the defines…

Q: Find f'(x) and f"(x). f'(x) f"(x) = f(x) = (x³ + 7)ex

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Q: If f(x) = 3 tan 1 x, then find the value of f'(5) is . %3D -5 26 3 26 3 26 26

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Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

A: Find the derivative

Q: 2) Given: f(x) = x+sin(2x) over the interval (0,7) a) Use a sign analysis to find the relative…

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Q: 3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

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Q: Determine the signs (positive, negative, or zero) of y = f(z) (shown in graph) and f'x) and f"(z)…

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Q: 6. (8) Let f(x) = 4 x ³ - x 4 3 a) Find the domain D (f) and the Y-intercept b) Find f'(x) the…

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Q: i(x) x² + 3x - 1 x4

A: To calculate the second derivative of the function i(x) = (x^2 + 3x - 1)/(x^4), we need to find the…

Q: Consider the function g (x) = , on the restricted domain [-8, 8]. Consider the following tables that…

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Q: If f(x) = sin(x³), find f'(x) Find f'(5)

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Q: 9) Use the second Derivative Test to find all relative extrema. f( x) = - (x + 2)°(x – 4)?

A: Find f'(x) and solve for x by putting f'(x)=0.

Q: 13. Question: If f(x) is a position function, how could we describe f'(x) and f"(x)?

A: we have f(x) as positional function.

Q: The graph of the first derivative of a function is shown a) How can we know in which intervals the…

A: Here we have the graph of the first derivative of a function is shown.

Q: 3 5. If f(x) = and g(x) = 4*, find: X-4 a) f-¹(g(x)) b) the domain and range of f-¹(g(x))

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Q: 2 a) For the function f(x) = find f' X- 3'

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