# manual derivatives done using the definition   356 videos

• #### Simplifying Radicals using Rational Exponents

How to use rational exponents to simplify higher power and indexed radicals.

• #### Using Sine to Calculate the Area of a Triangle

##### TrigonometryBasic Trigonometry

How to calculate the area of any triangle using two sides and an included angle.

area of a triangle sine
• #### Using Sine to Calculate the Area of a Triangle

##### PrecalculusBasic Trigonometry

How to calculate the area of any triangle using two sides and an included angle.

area of a triangle sine
• #### Economics: Marginal Cost & Revenue

##### CalculusApplications of the Derivative

How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue.

cost revenue profit marginal cost marginal revenue derivatives of cost and revenue
• #### The Method of Substitution

##### CalculusAntiderivatives and Differential Equations

How to evaluate an indefinite integral using the method of substitution.

antidifferentiation method of substitution change of variables derivatives differential
• #### Ratios and unites

##### Pre-AlgebraFractions and MIxed Numbers

Definitions and notation of ratios, and when we use them

• #### Grammar Colons

##### GrammarPunctuation

The definition of a colon and how to use it effectively in a sentence.

colons independent clause preceding clause conventions
• #### Grammar Semicolons

##### GrammarPunctuation

The definition of a semi-colon and how to use it effectively in a sentence.

semicolon semi colon semi colon
• #### Equation of a Circle

##### GeometryPythagorean Theorem

How to derive the equation for a circle using the distance formula.

• #### The Circle

##### Algebra 2Conic Sections

How to use the distance formula to derive the equation for a circle.

circle center radius distance formula equation for a circle
• #### Equation of a Circle

##### TrigonometryPythagorean Theorem

How to derive the equation for a circle using the distance formula.

• #### The Circle

##### PrecalculusConic Sections

How to use the distance formula to derive the equation for a circle.

circle center radius distance formula equation for a circle
• #### The Circle

##### PrecalculusEquations of Lines, Parabolas and Circles

How to use the distance formula to derive the equation for a circle.

circle center radius distance formula equation for a circle
• #### Solving Quadratic Equations Using Square Roots

How to solve quadratic equations using square roots.

square root
• #### Solving a Quadratic Inequality using a Sign Chart

##### Algebra 2Quadratic Equations and Inequalities

How to solve a quadratic inequality using a sign chart.

sign number line sign chart less than greater than quadratic inequality
• #### Solving Quadratic Equations Using Square Roots

##### Algebra 2Quadratic Equations and Inequalities

How to solve quadratic equations using square roots.

square root
• #### Simple Substitutions

##### CalculusAntiderivatives 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

##### CalculusAntiderivatives 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

##### CalculusApplications 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
• #### Solving and Graphing Inequalities using Addition or Subtraction

##### AlgebraSolving and Graphing Inequalities

How to solve and graph one variable inequalities using addition or subtraction.

inequality notation