Units:
Average and instantaneous rates of change, secant lies and tangent lines. Limits from numerical, graphical and analytical perspectives. Theory of the derivative. Applying the basic rules of differentiation, particularly the product, quotient and chain rules, to find derivatives of functions. Higher derivatives and Implicit Differentiation. Related rates and rectilinear motion. Characteristics of graphs of functions, Mean Value Theorem. Optimization, derivatives of inverse trig functions, L'Hopital's rule, antiderivatives. Solutions to ordinary differential equations. |
Additional Resources:
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