3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the function g(x) = 3x2 – x + 5 differentiable? -

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A: fx=x+3

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A:

Q: F(X)

A: y = f(x) is continuous at x = a  only if following properties are satisfy : (1)  f(a) exists . (2)…

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A:

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Q: ) Suppose we shift the graph of f vertically downwards by h units such that the maximum turning…

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A:

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

A:

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A: The given function is f(x)=x8ex, x>0

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A:

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A: Ques:-   Sketch the graph of a function on the            intervel 3,9 that has as absolute…

Q: Example 3: Find the root of: f(x) = x' - 3x+1 in the interval [0,1]?

A:

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A: Given: x3-x ln x-1=0  Interval (0,2)

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Q: True or False The cube root function is odd and is decreasing on the interval (-∞,∞).

A: we have to tell whether the given statement is True or False

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A:

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A: We first find the critical number by solving…

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A:

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A: We can solve this as follows:

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A:

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A: topic - application of derivatives $9000 at 75 units

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A: Given query is to find f(2) and f'(2)

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A:

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A:

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

A:

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A: For maximum Revenue : take the derivative of R(x) and equate to zero.

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A: Recall the following. A quadratic function fx=ax2+bx+c can be expressed in the standard form…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: 5. Use the second derivative test to determine whether f (x) = x3 – 9x2 + 24x +5 has a local maximum…

A:

Q: function

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A:

Q: 1) Find the absolute maximum and absolute minimum for f(x) = x* – 18x² – 2 on the closed interval…

A: To find absolute maxima and absolute minima for fx=x4-18x2-2;     x∈-2,4

Q: -, Determine the location and values of the absolute maximum and absolute minimum for the given…

A:

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A:

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A: Explanation of the answer is as follows

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A:

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Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

A:

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: If f:[0, 3] → R is continuous, must its range be a closed interval?

A: If f:[0, 3] → R is continuous, must its range be a closed interval