JA3. Derivation¶
Question 1¶
1. Using the limit definition of derivative, find
Question 2¶
2. Find the slope of the secant line between the values 3 and 4 for the function
Question 3¶
3. Applying limit definition of derivative, find the slope of the tangent line
Question 4¶
4. What do you understand from question numbers 2 and 3 about secant lines and tangent lines? Explain any difference or any similarity.
The slope of the secant line is the average rate of change of the function between the two points. The slope of the tangent line is the instantaneous rate of change of the function at a point.
Question 5¶
5. The total cost of producing x winter jackets in dollars is given by
Question 6¶
6. Apply the derivative rules, find
Question 7¶
7. Apply the derivatives rules, find
Question 8¶
8. Find the equation of the tangent line to the graph of
Question 9¶
9. Use Desmos graphing calculator to graph the function
Question 10¶
10. The concentration of antibiotic in the bloodstream t hours after being injected is given by the function