I can… Add your resources and strategies here Analysis of curves, including the • E. Applications of derivatives. notions of monotonicity and (Add newly created Can” statements concavity. “I that are the Clear Learning Targets in + Analysis of planar curves given in this column, based on the grade level parametric form, polar and vector form, including velocity and acceleration indicator listed to the left.) vectors. Optimization, both absolute (global) and • relative (local) extrema. Modeling rates of change, including • related rates problems. Use of implicit differentiation to find the • derivative of an inverse function. Interpretation of the derivative as a rate • of change in varied applied contexts, including velocity, speed, and acceleration. +Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations. + Numerical solution of differential equations using Euler's method. + L'Hopital's Rule, including its use in determining limits and convergence of improper integrals and series. I can… Add your resources and strategies here F. Computation of derivatives. Knowledge of derivatives of basic • functions, including power, exponential, (Add newly created Can” statements logarithmic, trigonometric, and inverse “I that are the Clear Learning Targets in trigonometric functions. this column, based on the grade level Basic rules for the derivative of sums, • products, and quotients of functions. indicator listed to the left.) Chain rule and implicit differentiation. • + Derivatives of parametric, polar, and vector functions.
E. Applications of derivatives. • Analysis of curves, including the notions of monotonicity and concavity. + Analysis of planar curves given in parametric form, polar and vector form, including velocity and acceleration vectors. • Optimization, both absolute (global) and relative (local) extrema. • Modeling rates of change, including related rates problems. • Use of implicit differentiation to find the derivative of an inverse function. • Interpretation of the derivative as a rate of change in varied applied contexts, including velocity, speed, and acceleration. +Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations. + Numerical solution of differential equations using Euler's method. + L'Hopital's Rule, including its use in determining limits and convergence of improper integrals and series. I can… (Add newly created “I Can” statements that are the Clear Learning Targets in this column, based on the grade level indicator listed to the left.) Add your resources and strategies here F. Computation of derivatives. • Knowledge of derivatives of basic functions, including power, exponential, logarithmic, trigonometric, and inverse trigonometric functions. • Basic rules for the derivative of sums, products, and quotients of functions. • Chain rule and implicit differentiation. + Derivatives of parametric, polar, and vector functions. I can… (Add newly created “I Can” statements that are the Clear Learning Targets in this column, based on the grade level indicator listed to the left.) Add your resources and strategies here
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