Calculating derivatives
Task
Calculate and graph derivatives of a polynomial function.
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Instructions
| 1. | Enter the function into the Input Bar and press Enter. |
| 2. | Enter into the Input Bar to compute the derivative of f(x). |
| Note: You can also use the command or the key on the virtual keyboard to enter the Derivative command. | |
| 3. | To calculate the slope of f(x) in x = 0 enter into the Input Bar and press Enter. |
| 4. | Compute the second derivative of f(x) using the command . |
| | Hint: You can use the key on the virtual keyboard to enter the Derivative command or enter into the Input Bar. |
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Task
Explore derivatives of further functions and calculate partial derivatives of functions with multiple variables.
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Instructions
| 1. | Define the function for which k is a constant parameter by entering its equation into the Input Bar. |
| 2. | Compute the first derivative of f(x) by typing into the Input Bar and pressing Enter. |
| 3. | Define the function for which a, b, c and d are constant parameters. |
| 4. | Compute the first derivative of g(x) by typing into the Input Bar and pressing Enter. |
| 5. | Compute the fifth derivative of g(x) by using the command . |
| 6. | Define the function h(x,y) with two variables by entering into the Input Bar. |
| 7. | Compute the partial derivative with respect to x for h(x,y) by using the command . |
| 8. | Compute the partial derivative with respect to y for h(x,y) by using the command . |