For the function below, find a) the critical numbers; b) the open intervals where the function is increasing, and c) the open intervals where it is decreasing. f(x) = (x + 3)* /5

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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A: f(x)=10x3-30x+3

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

A: f(x)=(x-1)2(x+3) To find out critical numbers , we take derivative and set it =0 apply product rule…

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A: We need to find critical values and interval where function is increasing and decreasing.

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: f(x)=ln 5x2+4x2+1

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A: We can find the critical points as below

Q: Find all critical values for the function f(x) = 10x – 30x + 5, and then list them (separated by…

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: Note: Multiple questions have posted simultaneously, the answer to the first question is given. If…

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A: We have to find critical points

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

A: f(x)=(8-x)(x+1)2

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Critical points are points where the function is defined and its derivative is zero or…

Q: nction​ below, find ​a) the critical​ numbers; ​b) the open intervals where the function is​…

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

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A: The solution of the problem is given in the next steps.

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Q: 4. Find the intervals of concavity for the function f(x) = e-/3. Identify any inflection points.

A: use double differentiation =0 to find inflection points and concavity

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Q: Consider the function f(x) = 12x + 45x4 – 200x³ + 5. For this - function there are four important…

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Q: Consider the function f(x) = 7x + 5x¯¹. For this function there are four important intervals: ( − ∞,…

A: We are given the function for which we need to find the stationary points f(x)=7x+5x-1