Contextual applications of differentiation
Instructional Videos
Interpreting the meaning of the derivative in context
--
Straight-line motion: connecting position, velocity, and acceleration
Rates of change in other applied contexts (non-motion problems)
Introduction to related rates
--Related rates intro (also good intro for implicit differentiation)
--Another related rates intro
—Differentiating related functions / Quotient rule
—Differentiating related functions / trig
Solving related rates problems
--Related rates water tank example 2
--Related rates conical tank example 3
--Related rates water tank example 4
--Related rates WS #1
--Related rates WS #4
—Advanced (Sphere)
Approximating values of a function using local linearity and linearization
Using L'Hopital's rule for finding limits of indeterminate forms
--L'Hopital's Rule example 1 and 2 (from textbook)
--L'Hopital's Rule example 3 (from textbook)
--L'Hopital's Rule example 4 (from textbook)
--L'Hopital's Rule example 5 (when it doesn't work) (from textbook)
--L'Hopital's Rule example 7 (infinity -infinity) (from textbook)
--L'Hopital's Rule example 8 (making a fraction so we can use it) (from textbook)
Interpreting the meaning of the derivative in context
--
Straight-line motion: connecting position, velocity, and acceleration
Rates of change in other applied contexts (non-motion problems)
Introduction to related rates
--Related rates intro (also good intro for implicit differentiation)
--Another related rates intro
—Differentiating related functions / Quotient rule
—Differentiating related functions / trig
Solving related rates problems
--Related rates water tank example 2
--Related rates conical tank example 3
--Related rates water tank example 4
--Related rates WS #1
--Related rates WS #4
—Advanced (Sphere)
Approximating values of a function using local linearity and linearization
Using L'Hopital's rule for finding limits of indeterminate forms
--L'Hopital's Rule example 1 and 2 (from textbook)
--L'Hopital's Rule example 3 (from textbook)
--L'Hopital's Rule example 4 (from textbook)
--L'Hopital's Rule example 5 (when it doesn't work) (from textbook)
--L'Hopital's Rule example 7 (infinity -infinity) (from textbook)
--L'Hopital's Rule example 8 (making a fraction so we can use it) (from textbook)