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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 .

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