NOTE: ANSWER MUST BE DIGITALIZED NOT HANDWRITTEN BECAUSE I AM HAVING A HARD TIME SEEING MESSY HANDWRITING

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Directions:

1. Create five functions based on the following conditions:

a. polynomial function of third-degree with 3 terms.

b. polynomial which is a product of two binomials.

c. rational function whose numerator is a constant and denominator is a binomial.

d. rational function whose numerator and denominator are both binomials.

e. trigonometric function

2. Solve for the derivative of each function using the limit definition of derivative (increment method).

3. Verify the derivative of each function using differentiation rules.