1. 


The derivative of a sum is the sum of the derivatives. 
2. 


The derivative of a difference is the difference of the derivatives. 
3. 


The derivative of a product is the product of the derivatives. 
4. 


The derivative of a quotient is the quotient of the derivatives. 
5. 


The derivative of ln (x^{2}+1) is ln (2x). 
6. 


The derivative of ln (x^{2}+1) is  1
2x  . 

7. 


The first rule that we would use to find the derivative of f(x) = x(1+x)^{12} is the product rule. 
8. 


The first rule that we would use to find the derivative of f(x) = ln (x^{2}1) is the product rule. 
9. 


If the selling price of a product is raised, total revenue from sales of the product must rise due to the increased revenue per item. 
10. 


If the selling price of a product is raised, total revenue from sales of the product must decline due to the decrease in the number of items sold. 
11. 


The derivative of 2^{x} is x(2^{x1}). 
12. 


The derivative of 2^{x} is 2^{x}. 
13. 


The derivative of e^{x} is e^{x}. 
14. 


In exponential growth, the rate of change is constant. 
15. 


In exponential growth, the percentage rate of change is constant. 
16. 


If x and y are related by an equation so that dy/dx can be expressed
as a function of x only, then the graph of the equation is the graph of
an function. 
17. 


If x and y are related by an equation so that dy/dx can be expressed
as function of y only, then the graph of the equation cannot be the
graph of a function. 
18. 


The graph of y = sin(x) departs from the origin at an angle of exactly
45 degrees. 
19. 


The derivative of ln f(x) has the same formula as the derivative of ln f(x), but may have a larger domain. 
20. 


If a company's profit is increasing by $3 for each additional item manufactured, and each additional worker manufactures 10 items, then the marginal product is $30 per item. 