Derivatives and Sensitivity
Master single-variable calculus foundations, transition from intuitive sensitivity to formal derivatives, and apply power rules to tangent slopes.
Lessons in this Topic
The Rate of Change and Tangent Slopes
Master single-variable calculus foundations, transition from intuitive sensitivity to formal derivatives, and apply power rules to tangent slopes.
Limits and the Formal Derivative Definition
Define the formal mathematical derivative as the limit of average rates of change as the step interval shrinks toward an infinitesimal nudge.
The Training Wheels Transition in Calculus
Transition from intuitive sensitivity terminology to formal derivative notation, analyzing positive, negative, and zero slope conditions in depth.
Elementary Power and Sum Derivative Rules
Apply foundational power, constant, and sum rules of differential calculus to compute exact algebraic derivatives for single-variable functions.
Derivatives and Sensitivity In Practice
Master secant line limits, algebraic derivative rules, stationary slope conditions, and valuation sensitivity rates through manual calculations.