derivatives 62 videos

The Second Derivative Test for Relative Maximum and Minimum
Calculus Applications of the Derivative
How to show that polynomial functions are continuous functions.

Cladistics
Biology Classification
The definition and explanation of cladistics.
cladistics classifying organisms derived traits 
Area of a Segment
Geometry Area
How to derive the area of a segment formula.
segment sector triangle area radius central angle shaded area 
The Cosine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the cosine of a difference formula.
the unit circle the law of cosines the distance formula cosine of a difference formula 
The Sine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the sine of a sum formula.
cosine of a difference formula the cofunction identities the sine of a sum formula 
The Cosine Addition Formulas
Trigonometry Advanced Trigonometry
How to derive the cosine of a difference formula.
the unit circle the law of cosines the distance formula cosine of a difference formula 
The Sine Addition Formulas
Trigonometry Advanced Trigonometry
How to derive the sine of a sum formula.
cosine of a difference formula the cofunction identities the sine of a sum formula 
The Quotient Rule
Calculus Techniques of Differentiation
How to differentiate a quotient of two functions.
differentiation quotient rule product rule derivatives 
The Method of Substitution
Calculus Antiderivatives and Differential Equations
How to evaluate an indefinite integral using the method of substitution.
antidifferentiation method of substitution change of variables derivatives differential 
Simple Substitutions
Calculus Antiderivatives and Differential Equations
How to use the method of substitution to avoid common integration mistakes.
antidifferentiation method of substitution change of variables derivatives differential 
Position, Velocity and Acceleration
Calculus Antiderivatives and Differential Equations
How to solve position, velocity and acceleration problems using differentiation equations.
differential equations derivatives position velocity acceleration 
Optimization Problems: Applications to Economics
Calculus Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
cost revenue average cost optimization methods closed interval method first derivative test second derivative test 
Area of Regular Polygons
Geometry Area
How to derive the formula to calculate the area of a regular polygon.
area apothem side hexagon isosceles triangle perimeter equilateral equiangular 
Area of Circles
Geometry Area
How to derive the formula to calculate the area of a circle.
circle radius circumference area 
Area of a Sector
Geometry Area
How to derive the formula to calculate the area of a sector in a circle.
sector central angle intercepted arc circle radius area 
Equation of a Circle
Geometry Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
distance formula radius center circle 
The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication