The chart below gives information about the derivative of a function f (x). f'(x) + + + +0---0- 4 0 The function f in the interval 0 < x < 4 have: [Select] . 1 . [Select] + 2 - local maxima/maximum local minima/minimum -- 0 ++++ 3 4

Q: The graph of a function is shown below. Select the graph of the derivative f'.

A: Given, A graph of the function We have to find the graph of the derivative of the function.

Q: Use a computer algebra system to graph f and to find f′ and f″. Use graphs of these derivatives to…

A: The first function is fx=xx2+x+1 It is complex to differentiate this function manually. As mentioned…

Q: Find the first and second derivatives of the function. f(x) = f'(x) = f"(x) = Identify the intervals…

A: Given function, f(x)=x2+x2

Q: If f (-4) = 0 and f "(-4) = 6, what can you say about f? Step 1 The Second Derivative Test says that…

A: f'(-4) = 0 , f'(x0) = 0 f''(-4) = 6 , f''(x0) &gt; 0

Q: determine f given f' and a point which statify f. f'(X)= 4x3-3x2+2x (3,80)

A: To determine f given f' and a point which statify f.   f'(X)= 4x3-3x2+2x (3,80)

Q: Consider the following function. f(x) = x - 9 + 27x + 8 (a) Make a sign diagram for the first…

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Q: Find the derivative of the function f(x)= 7arcsin(x - 9). 7 f"(x) = (x-9)-1 7 f'(x)= (x - 9) - 1 7…

A: we know that ddxsin-1x=11-x2

Q: 4 -4 -3 2 4 -2

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2…

Q: Suppose that the second derivative of a function f is f"(x)= -(x+1) (x – 1)²(x - 4)°. Determine the…

A: To find the inflection point and intervals of concavity

Q: Use the definition for the function above to find the derivative. f'(x) = lim Submit Ax-o lim Ax-0…

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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: Find the derivative of f (x ) =V sech( In (8x + 1)) - sech(In(8x + 1)) tanh( In(8x + 1)) A 2/ sech(…

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Q: Looking for some advice on this problem please! By using derivative, determine the intervals of x…

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Q: Explain in your own words, how do you find the followings using first and second derivatives of…

A: To Explain: How can we find followings using first and second derivatives of function f(x):(a)…

Q: Make a sign diagram for the derivative of the function. f(x)=x+4x38x² +62 f'(x) [ increase 0…

A: Introduction: Any interval in the domain of a function's derivative can be utilized to assess…