Explain the relationship between a function and the derivative by providing an example.

Q: What rules do you know for calculating derivatives? Give some examples.

A: Given:What rules do you know for calculating derivatives? Give some examples.

Q: the graphof the derivative of a function is given. Sketch the graphsof two functions that have the…

A: The graph of the derivative of the function f is observed as a straight line parallel to the x-axis…

Q: How to use a graph of a derivative to determine the parent function.

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Q: What is a derivative table?

A: This is the application of calculus.

Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

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Q: Sketch a graph given two sign charts of a function and it's derivative.

A: The graph of a function can be drawn using the sign charts of the function. The sign charts show the…

Q: Determine whether each of the following statements is true or false, and explain why The derivative…

A: Given-  The derivative gives the instantaneous rate of change of a function. To determine- Whether…

Q: 3. Sketch the graph of the derivative of the function below.

A: A rough graph can be plotted as values are not given in the given graph.

Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: Please provide me with the solution and work to the question. Please try to dumb it down so I can…

A: (a) The f(x) is maximum at x = -4 and minimum at x = 2.So x = -4 and 2 are the critical…

Q: where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y…

A: here,  y=acc+12dydc=-ac2+11ac-12a(c+12)2

Q: 1. Sketch the graph of the derivative of the function:

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Q: determine a function by being given the function’s first derivative and an initial condition for the…

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Q: Describe how to find the slope of the tangent line to the graph of a function at a point.

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Q: What is a derivative?

A: The derivative of a function can be defined in two ways, one approach is graphical and other…

Q: explain why derivatives are useful and what they can be used for. You should touch upon at least 3…

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Q: it differentiation

A: Assume that y is a function of x , or y=f(x)y2=f(x)2   ddx(y2)=ddxf(x)2

Q: The graph of a derivative function is shown below. Explain what type of function f(x) must be. Use…

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