Question 1

Determine whether the statement is true or false.
If f is differentiable, then  .

Accepted Answer

The answer of Determine whether the statement is true or...

Question 2

Since its inception in 1971, socially responsible investments, or SRIs, have yielded returns to investors on par with investments in general. The assets of socially responsible funds (billions of dollars) from 1991 through 2002 is given by  , where  corresponds to the beginning of 1991.
Find the rate at which the assets of SRIs were changing at the beginning of 2001. Round the result to three decimal places.
__________ billion of dollars/year.
What were the assets of SRIs at the beginning of 2001? Round the result to three decimal places.
__________ billion of dollars

Accepted Answer

The answer of Since its inception in 1971, socially responsible...

Question 3

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 4

The total worldwide box-office receipts for a long-running movie are approximated by the function  , where  is measured in millions of dollars and x is the number of years since the movie's release. How fast are the total receipts changing 1 yr, 3 yr, and 5 yr after its release?

Accepted Answer

The answer of The total worldwide box-office receipts for a...

Question 5

Government economists of a developing country determined that the purchase of imported perfume is related to a proposed "luxury tax" by the formula , where N(x) measures the percentage of normal consumption of perfume when a "luxury tax" of x% is imposed on it. Round the answers to two decimal places. Find the rate of change of N(x) for tax of 30%. __________ Find the rate of change of N(x) for tax of 100%. __________ Find the rate of change of N(x) for tax of 150%. __________

Accepted Answer

The answer of Government economists of a developing country determined...

Question 6

Find an equation of the tangent line to the graph of the function at the point  .

Accepted Answer

The answer of Find an equation of the tangent line...

Question 7

Find the derivative of the function.

Accepted Answer

Without knowing the specific function, it is impossible to find the correct answer. The derivative symbolizes the rate of change of the function, so it is dependent on the specific function given.

Question 8

Find an equation of the tangent line to the graph of the function at the point  .

Accepted Answer

The answer of Find an equation of the tangent line...

Question 9

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 10

Find an equation of the tangent line to the graph of the function  at the point  .

Accepted Answer

The answer of Find an equation of the tangent line...

Question 11

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 12

Find  .

Accepted Answer

The answer of Find  . ...

Question 13

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 14

Find the derivative of the given function.

Accepted Answer

The answer of Find the derivative of the given function....

Question 15

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. 
...

Question 16

Find  .

Accepted Answer

The answer of Find  . ...

Question 17

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 18

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 19

Suppose  . Find  if  .

Accepted Answer

The answer of Suppose  . Find  if ...

Question 20

Evaluate  at the value of  .

Accepted Answer

The answer of Evaluate  at the value of ...

Quiz 3: Differentiation

Determine whether the statement is true or false. If f is differentiable, then .

Find the derivative of the function.

The total worldwide box-office receipts for a long-running movie are approximated by the function , where is measured in millions of dollars and x is the number of years since the movie's release. How fast are the total receipts changing 1 yr, 3 yr, and 5 yr after its release?

Find an equation of the tangent line to the graph of the function at the point .

Find the derivative of the function.

Find an equation of the tangent line to the graph of the function at the point .

Find the derivative of the function.

Find an equation of the tangent line to the graph of the function at the point .

Find the derivative of the function.

Find .

Find the derivative of the function.

Find the derivative of the given function.

Find the derivative of the function.

Find .

Find the derivative of the function.

Find the derivative of the function.

Suppose . Find if .

Evaluate at the value of .