Below is a list of al Consta List Use the following function for problems 6-7 f(x) = 4x³-x4 on the interval [-1,4] (6) The critical point(s) of the first derivative are: (A) x=1 and x = 3 (C) x = 3 b x=0 and x = 3 (D) none of these (7) The y values of the absolute maximum and absolute minumum values of the given interval: abs min=-5 (A) abs max = 16 abs min=-5 (C) abs max = 27 abs min = 0 abs max=16 (D) none of these Use the following function for problems 8-10

Q: 1. f(x) = 2x²-5x-3 X-2 Interval Test Point x Value of f(x) Sign of f(x) Above/Below x-axis m O N C

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Q: 5. If a function f(x) has the same value at the endpoints of a particular interval, will there…

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Q: find the derivative, show all work please. f(x)=square root(4x2-2x+3)

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Q: LA3] Given the function f(x) = 2x5 – 5x*, use the second derivative test with an interval table to…

A: Check sign of second derivative for concave up or down.

Q: Sketch a possible graph of a function with the following properties: x-intercepts: -1, 1 Critical…

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Q: For the function g(x) = 2x³ - 24x+9 a. Find the critical numbers b. Use the first derivative test to…

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Q: 5. Consider the following function: f(x)= e* (3x³) a. Determine the critical points of such function…

A: For a function f( x ) , we can find  critical points by f'( x ) = 0  Inflection points by f''( x ) =…

Q: Please help me with this. Please show all your work -determination of critical numbers for the…

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Q: 1. If f(x) = x² + 1 and g(x) = (x + 3)" determine domain and range of following functions F'(x)) =…

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Q: If f(q)  = 50 + 50q gives profit when selling q units, and g(t) = t^2 - 12t + 1 gives the quantity…

A: Given: f ( q ) = 50 + 50 q , where f ( q )  is the profit on selling q units. g ( t ) = t 2 – 12 t +…

Q: Suppose you compute a derivative of a continuous function g and simplify it as the following: g'(x)…

A: A critical point of a function is defined as the value of x where the function or the derivative of…

Q: For the followings problems, consider a function h that is twice differentiable. This means that his…

A: The function h is twice differentiable. The values of h'x are given in the table. x -8 -6 -4 -2 0…

Q: Use the first derivative to determine where the function is increasing and decreasing and where all…

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Q: The critical points on the function f (x) = x³ – 4x² − 3x + 18 occur at x=-1/3 and x=3. Describe…

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