Exam 3: Differentiation Rules

Select the correct Answer for each question. -If

Find the second derivative of the function.

If and find

Suppose the daily total cost (in dollars) of manufacturing televisions is What is the marginal cost when What is the actual cost incurred in manufacturing the 201st television?

Select the correct Answer for each question. -Find the derivative of the function.

Determine the values of for which the given linear approximation is accurate to within 0.07 at

Find the derivative of the function.

be the total value of US currency (coins and banknotes) in circulation at time.The table gives values of this function from 1980 to 2000, as of September 30, in billions of dollars.Estimate the value of (1990) . Answers are in billions of dollars per year.Round yourAnswer to two decimal places.

The mass of the part of a metal rod that lies between its left end and a point x meters to the right is Find the linear density when is Select the correct Answer

Differentiate the function.

Two chemicals react to form another chemical.Suppose that the amount of chemical formed in time (in hours) is given by where is measured in pounds. a.Find the rate at which the chemical is formed when Round to two decimal places. b.How many pounds of the chemical are formed eventually?

Find all points at which the tangent line is horizontal on the graph of the function.

Find, correct to three decimal places the area of the region above the hyperbola below the axis, and between the lines

Use logarithmic differentiation to find the derivative of the function.

has a half-life of A sample has a mass of initially.Find the mass remaining after 48 days.

Select the correct Answer for each question. -Determine the values of for which the given linear approximation is accurate to within 0.07 at

If is the focal length of a convex lens and an object is placed at a distance from the lens, then its image will be at a distance u from the lens, where and are related by the Find the rate of change of with respect to

The mass of part of a wire is kilograms, where is measured in meters from one end of the wire.Find the linear density of the wire when

Find the derivative of the function.

Calculate