Calculus 1 & Pre Calculus Programs Included
Average Rate of Change 
Chain Rule | dy/dx = f’[g(x)] * g’(x) | dy/dx = f’(u) * u’ | (5x²+7)^5 | sin(ax) | 7*cos(5*x^2) | (tan (5x))^5
Concavity
cos(a * x) derivative
cos(a * x) integral
Critical Numbers
Critical Points
Definite Integral | = ∫ [ f (x) ] dx
Definition of a Derivative
Derivative In(x)
Given Delta – Find Epsilon
Derivatives/Algebra (step by step) | √(x) | 3√(x) | 5/√(x) | 5/x | 5/8x | 5/x² | (5x)² | 5x²/8 | x(x+5) | x^½ | x^(-½) | (x²-4)/(x+2) | (x²-4)/(x-2) | (5x²+7)^5 | √(5x²+7) | (5x²+7)½ | ³√ (5x²+7) | (5x²+7)¹/³ | sin | cos | tan
Difference Quotient
ê(x) Derivatives
ê(x) Integrals
Equation of Tangent Line (y=mx+b)
Equation of a Line
Equation of a tangent line at a Curve | (y = mx + b)
Fence Area
Graphing by Hand | Concavity | Critical Points | Crosses x axis | Inflection Point | Intervals of Increase | Intervals of Decrease | Local Maximum & Minimum
Local Minimum & Maximum
Implicit differentiation | y³+y²-5y-x² = -4
Inflection Point
Integrals/ Algebra (Rewrite selected & Integrate) | n / √(x) | (x² + n)² | (x³ + n)/x² | ³√(x) | n / x² | n / ³√(x) | n / x√(x) | 1/x³
Integrals – Answer Only
Integration by Parts | ln(x) | n*e^x | sin(x) | cos(x) | sin(x) and cos(x)
Intervals of Increase or Decrease
Limits | Instructions | Definition | Execute Limit
ln(x) | Derivatives
ln(x) | Integrals
Local Max & Min | Extrema
log(x) Log to Other Base | Evaluate | Solve for x | Exponential Form | Logarithmic Equation | Differentiate | Integrate
Log to Base a
Money
Natural Log | ln(x)
Product Rule | ( f (x) )( g (x) )
Quadratic Formula
Quotient Rule | ( f (x ) ) / ( g (x) )
Relative Extrema
sin(a*x) Derivative
sin(a*x) Integral
sin(a*x) Integral
sin(x)^3*cos(x)^2
tan(a*x) Derivative
Trig & Half Angle Formulas & Identities | sin(u)*cos(v) | [1+cos(2x)]/2 | cos(2x)2 | [1-cos(cs)]/2 | 1-cos(2x) / 1+cos(2x) | sin²(x) + cos²(x) = 1 | tan(x) | tan²(x) | Trig d/dx cos(2x)/2 | cos(2x) | cos(x) | cos²(x) | cot(x) | csc(x) | csc²(x) | sec(x) | sec²(x) | sin(2x) | sin(x) | sin²(x)
Trig d/dx Identities
U – Substitution
Calculus 2&3 Programs Included
A & B Vectors A(x,y,z) B(x,y,z) ||A|| Magnitude ||B|| Magnitude | A – B | A – B Magnitude | A + B | A + B Magnitude | A + B + C | Find Resultant | Find Components | A * B Dot Product | | A x B Cross Product | B – A | n * A | (n * A) + (n * B) | Area of a parallelogram | Component A direct B | cosine(AB) | Equation of a Plane | ax+by+cz+d=0 | P&Q Points | Projection of A on B | Projection of B on A | Unit vector A | Unit vector B Video Example 2
Acceleration| r(t) function
Angle of a Vector | r(t) function
Arc Length | f(x) system | r(t) system | y system
Average Rate of Change
Component of A Direction of B
Conservative Curl
Compute Curl at a Point Video Example
Compute Divergence at a Point
Cosine(∅) of A & B
Curl | Definition | PQR notation | Conservative | Divergence | Curl Problem | Compute Curl at Point | Compute Divergence at Point | MNP notation | Conservative | Divergence | Curl Problem | Compute Curl at Point | Compute Divergence at Point
Cross Product AxB
Definite Integral
Divergence of Curl
Divergence of Vector Field
Dot Product
Eliminate the Parameter (t)
Gradient | Definition | 2 Variables | 3 Variables
Green’s Theorem
Implicit Differentiation
Trig & Half Angle Formulas | 1 + cos(2x)2 | 1 – cos(2x)/1 + cos(2x) | 1 – cos(2x)/2 | cos(2x) | cos(x) | cos²(x) | cot(x) | csc(x) | csc²(x) | sec(x) | sec²(x) | sin(2x) | sin(x) | sin²(x) | sin²(x) + cos²(x) = 1 | tan(x) | tan²(x)
Linear Approximation (3 variable) | ax+by+cz+d=0
Line Integral Over Range | = ∫ ( f [(x(t),y(t),z(t)] * √ [ x'(t)² + y'(t)² + z'(t)² ] ) dt
Mass of Spring or Wire
Magnitude of a Vector | r(t) function
Parametric Equation | r(t) function
Partial Fraction Decomposition
Polar to Rectangular Conversions
Projection of Vector A on Vector B
P & Q Vector Points | Position Vectors | Projection of a on b, b on a | Speed
Quadratic Formula
Sketch a Graph | r(t) function | Make a Table of Points
Surface Integral | x,y | x,z | y,z
Position Vectors | Velocity | Acceleration | Speed | Unit Tangent Vector | Parametric Equation | Standard (Linear) Equation
Speed | r(t) function
Sphere | Center Point | Mid Point | Equation | Radius
Surface Area Revolving
Surface Integral | x,y | x,z | y,z
Tangent Plane to a Surface
Trig d/dx – Identities and Functions | Half Angle Formulas | Reciprocals | Integration | Derivatives | 1+cos(2x)2 | 1-cos(2x) / 1+cos(2x) | 1-cos(2x)/2 | cos(2x) | cos(x) | cos²(x) | cot(x) | csc(x) | csc²(x) | sec(x) | sec²(x) | sin(2x) | sin(x) | sin²(x) | sin²(x) + cos²(x) = 1 | tan(x) | tan²(x)
U Substitution
Vectors | Unit Tangent Vector | Unit Vector PQ/||PQ|| | Vector Between P & Q
Velocity
Volume of a Parallelepiped
Work | Force Field | Lifting Object | Pumping Oil
Springs
