Application Marginal Cost: Media companies can buy multiple licences for AudioTime audio recordir software at a total cost of approximately C(x) =168x dollars for x licenses. a) Find the marginal cost function. (4 pts.) b) Find the marginal cost when x= 64, and interpret your answer.

Q: What is the meaning of a derivative?

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Q: in in words how is derivative lated2

A: We have to explain in the words how derivative is calculated.

Q: 4 f(x) = Vx*+2 %3D x*-2

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

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Q: %3D

A: Our Aim is to find the derivative of the following function given by:-g(x)=(x+x2) (x3+x+2) -(i)

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: nd derivative.

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Q: Explain the relationship between the slope and the derivative of ƒ(x) at x = a.

A: Given function is  fx at x=a

Q: find the slope of the furetion at Quen point. use the derivative feature of a graphing utility to…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Give the derivative of y" 7/17

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Q: 6. 1+x* f (x) = 1 + x3

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Q: Match the graph of the function with the graph of its derivative.

A: Assume that y = 0 at x1 and x2 in the given graph. From the given graph, it can be concluded that…

Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: