| Code |
Description |
| MAFS.912.C.3.1: | Find the slope of a curve at a point, including points at which there are vertical tangent lines and no tangent lines. |
| MAFS.912.C.3.2: | Find an equation for the tangent line to a curve at a point and a local linear approximation. |
| MAFS.912.C.3.3: | Decide where functions are decreasing and increasing. Understand the relationship between the increasing and decreasing behavior of f and the sign of f'. |
| MAFS.912.C.3.4: | Find local and absolute maximum and minimum points. |
| MAFS.912.C.3.5: | Find points of inflection of functions. Understand the relationship between the concavity of f and the sign of f". Understand points of inflection as places where concavity changes. |
| MAFS.912.C.3.6: | Use first and second derivatives to help sketch graphs. Compare the corresponding characteristics of the graphs of f, f', and f". |
| MAFS.912.C.3.7: | Use implicit differentiation to find the derivative of an inverse function. |
| MAFS.912.C.3.8: | Solve optimization problems. |
| MAFS.912.C.3.9: | Find average and instantaneous rates of change. Understand the instantaneous rate of change as the limit of the average rate of change. Interpret a derivative as a rate of change in applications, including velocity, speed, and acceleration. |
| MAFS.912.C.3.10: | Find the velocity and acceleration of a particle moving in a straight line. |
| MAFS.912.C.3.11: | Model rates of change, including related rates problems. |
| MAFS.912.C.3.12: | Solve problems using the Newton-Raphson method. |
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