ले f(x) = 2/3 - 4

Q: Find the first and second derivatives of the functions in Exercises

A: To find the first derivative, differentiate r with respect to θ, using the quotient, product and…

Q: Let ƒ be a function that is continuous everywhere. The graph of the derivative of f, is shown below.…

A: (a) True Explanation : The graph of f' is decreasing on the interval (0,∞) , hence the function f is…

Q: Let be the function f(x)= (4-x^2)(x^2-2x+2)in the Cartesian plane below. Compute the average rate of…

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Q: Consider the set C = {(x, y) = R² | y² = x(1-x²)}. Is C a curve? If yes, why yes? If no, why not?

A: We shall plot the given curve y2=x6(1−x2).

Q: Determine the local optima of the following functions using both the First derivative test and…

A: First derivative test: let f be a continuous on [a,b] let c be a critical number for f in (a,b).…

Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is…

A: Given:   To find:      The critical numbers of f ( x ). (a) The open interval on which the function…

Q: Find all zeros of the ploynomial (real and complex) and factor the polynomial completely…

A: To obtain the roots of the function use the synthetic division as, -31    7    18    18   -3 -12  -8…

Q: Use the first derivative test to find and classify the relative extrema of x2 +8x+ 16 f(1) = For…

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Q: 1. The graph shows the derivative of f, f'. Identify the intervals when f is increasing and…

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Q: A continuous function has a derivative at every point in a given interval. True or False?

A: function is differentiable means that function is continuous as well as smooth at every point of…

Q: If I have a continuous, smooth (no sharp points) function with 3 local maxima and 2 local minima,…

A: Since the function is continuous , with 3 local maxima and 2 local minima.the function will have 5…

Q: The first and second derivatives of f are given picture below. You may assume that f has a vertical…

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Q: The rule of the derivative of a function f is given below (but not the rule of f itself). Find the…

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Q: The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-

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