Practice Test 2 (Part I)

This video covers Part I of the Practice Test 2 for MATH 2413 (Calculus I), working through the first 11 questions of the assignment. To maximize efficiency, all lengthy manual calculations have been pre-computed so we can focus directly on the core calculus concepts, formula applications, and graphing techniques. Topics covered include finding equations of tangent lines, applying derivative rules (power, product, quotient rules), interpreting real-world rate of change graphs, calculating higher-order derivatives, position/velocity/acceleration problems, and marginal cost analysis. --- Timestamps *[00:02](   • Practice Test 2 (Part I)   — Introduction & Overview of the Practice Test *[00:22](   • Practice Test 2 (Part I)   — *Question 1:* Finding the Equation of a Tangent Line & Graphing a Quadratic Function ($y = 3 - x^2$) *[05:31](   • Practice Test 2 (Part I)   — *Question 2:* Tangent Line Equation & Graph Selection for a Radical Function ($16\sqrt{x}$) *[08:44](   • Practice Test 2 (Part I)   — *Question 3:* Finding Slope and Tangent Line Using Power Rule Derivatives *[09:35](   • Practice Test 2 (Part I)   — *Question 4:* Using the Quotient Rule to Find Tangent Lines of Rational Functions *[11:56](   • Practice Test 2 (Part I)   — *Question 5:* Differentiating Radical Functions and Evaluating at Multiple Points *[14:24](   • Practice Test 2 (Part I)   — *Question 6:* Finding Slopes of Tangent Lines using Polynomial Power Rules *[16:19](   • Practice Test 2 (Part I)   — *Question 7:* Interpreting Temperature Graphs & Estimating Rates of Change (Derivative Graphing) *[23:12](   • Practice Test 2 (Part I)   — *Question 8:* Calculating First and Second Order Higher Derivatives *[25:29](   • Practice Test 2 (Part I)   — *Question 9:* Applying the Product Rule and Simplifying Polynomial Derivatives *[29:26](   • Practice Test 2 (Part I)   — *Question 10:* Particle Motion — Finding Position, Velocity, Acceleration, and Total Distance Traveled *[34:33](   • Practice Test 2 (Part I)   — *Question 11:* Business Calculus — Calculating Average Cost, Marginal Cost, and Production Variations --- Watch out for Part II to see the remainder of the practice test assignment! Don't forget to like, subscribe, and drop any questions in the comments below.