For the function f(x) = find the domain, any symmetry, and the first and second derivatives. Use the derivatives to find any critical points and points of inflections and the first and second derivative tests to find any intervals of increasing, decreasing, concavity, local maximums and minimums. Locate any asymptotes and sketch the graph.

Q: Can you help with this problem step by step?

A: Given function

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A: fx=5x+7average  rate  of change=fx+∆x-fx∆x

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A: The critical points can be obtained by f'(x)=0. The point of inflection can be obtained by f"(x)=0…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the average rate of change of the following functions as a function of Δx, and find the limit…

A: Please refer to the image below

Q: (7) For the function f (x) = 0.25x - 2r3 Find intervals of concavity and inflection points

A: From  first derivative and second derivative of the given function we can answer to this question.

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A: TOPIC -derivative using limits and equation of tangent line

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A: Slope= df/dx

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A: We can solve the given problem using concept of derivative in order to solve the given problem.

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A: We can solve this as follows:

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Q: Can you help with this problem step by step?

A: Given: -

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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: 2. Let f(x) = x* - 6x². Find (a) the intervals of increase or decrease, (b) the relative maximum and…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.