SO_ID | Outcome | StudyPug Topic |
|---|---|---|
NL.SO.3208RF1 | Write function h(x) as sum, difference, product or quotient of functions. Sketch graph and determine domain and range of combined functions. |
NL.SO.3208RF2 | Explain behavior of rational function graph near non-permissible values. Determine asymptotes or holes. Sketch rational function graphs. |
NL.SO.3208C1 | Explore limits, evaluate using graphs and tables. Apply limit properties. Determine infinite limits and end behavior of functions. |
NL.SO.3208C2 | Distinguish continuity and discontinuity. Identify types of discontinuities. Determine function continuity at points and intervals. |
NL.SO.3208C3 | Define and evaluate derivatives using limit definition. Determine differentiability and explain non-differentiable points. Sketch derivative graphs. |
NL.SO.3208C4 | Derive and apply derivative rules. Determine higher-order derivatives. Solve problems involving tangent lines and rates of change. |
NL.SO.3208C5 | Determine derivatives of implicit relations. Find equations of tangent and normal lines. Calculate second derivatives using implicit differentiation. |
NL.SO.3208C6 | Use derivatives to identify critical points, extrema, intervals of increase/decrease, concavity. Sketch function graphs using derivative information. |
NL.SO.3208C8 | Solve and interpret related rates problems from various applications. |
NL.SO.3208C9 | Solve optimization problems from various applications using calculus techniques. Interpret solutions. |
NL.SO.3208C11 | Derive derivatives of trigonometric functions. Determine derivatives of expressions involving trigonometric functions. |
NL.SO.3208C12 | Explain inverse trigonometric functions. Derive and determine derivatives of inverse trigonometric functions. |
NL.SO.3208C13 | Analyze exponential and logarithmic functions. Derive and determine derivatives of exponential, logarithmic, and hyperbolic functions. |
NL.SO.3208C14 | Find antiderivatives of functions. Use antidifferentiation to solve motion problems. |
NL.SO.3208C15 | Estimate areas using Riemann sums. Determine areas under curves and between functions using definite integrals. |