Calculus 1.txt

• 1) Determine the domain and range of a function
• 2) Determine the intercepts, asymptotes, and symmetry of the graph
• 3) Locate the x values for which f'(x) and f"(x) either are zero or do not exist. Use the results to determine relative extrema and points of inflection

Section P.1

P.1

P.3

Section 1.4

1.5

2.1

3.1

3.4

3.4

3.5

Section 3.5

1. Differentiate both sides of the equation 'with respect to x'. 'x' variables are differentiated normally but 'y' variables must use the chain rule

2. Collect all terms containing dy/dx [ or " y' "] on the left side of the equation and move all other terms to the right side of the equation.

3. Factor dy/dx of the side of the equation

4. Solve for dy/dx

• 1) Differentiate both sides of the equation (with respect to x) - what does 'with respect to x' mean?
• 'respect to x' means 'x' variables are differentiated normally. 'y' variables use the chain rule

2) Collect all terms involving dy/dx on the left side of the equation and move all other terms to the right side of the equation. (all the primes [y'] on one side, everything else on the other)

3) Factor dy/dx [y'] out of the left side of the equation

4) Solve for dy/dx