## App Purchase

Enter the last 8 digits of your 27-digit TI-Nspire's Product ID.

Located under 5:Settings → 4:Status → About ID may look like: 1008000007206E210B0BD92F455 HELP. If this was your ID you would only type in BD92F455.

At the end of the PayPal checkout, you will be sent an email containing your app. Read Installation Instructions Price:\$49.95

## Description

• Calculus Made Easy is the ultimate educational Calculus tool.
• Users have boosted their calculus understanding and success by using this user-friendly product. A simple menu-based navigation system permits quick access to any desired topic.
• This comprehensive application provides examples, tutorials, theorems, and graphical animations. Just enter the given function in the provided dialogue box and learn how the correct rule is applied - step by step - until the final answer is derived.
• Features include:
• -Step by Step Differentiation
• -Step by Step Integration
• -Step by Step Differential Equations
• -Integral Calculator with Steps
• -Step by Step Parametric Equations
• -Step by Step Polar Functions
• -Step by Step Multivariable Calculus
• -Step by Step Limits and L'Hopital Rule
• -Step by Step Implicit Differentiation and much more as can be seen in the videos.

## FUNCTIONALITY & MENU ITEMS OF APP

### FUNCTIONS

• Find Slope
• Find y=mx+b
• Analyze |x| Function & its Slope
• All-in-one-Function Explorer
• Evaluate Function
• Find Domain of f(x)
• Find Range of f(x)
• Intersection of 2 Functions
• Composition of 2 Functions f(g(x))
• Complete the Square
• Find [f(x+h)-f(x)]/h
• Find Inverse function
• Newton Method
• Apply Intermediate Value Theorem

### LIMITS

• L'Hopital Rule 0/0 or 8/8
• Compute 1- and 2-sided Limits
• Continuity of piecewise-defined function
• READ: Definition of 2-Sided Limit & Continuity

### DERIVATIVES

• Find [f(x+h)-f(x)]/h
• Average Rate of Change
• Find f'(x)=lim [f(x+h)-f(x)]/h as h->8
• Instantaneous Rate of Change
• Evaluate Derivatives; Tangent- & Normalline
• Find Horizontal Tangentline
• Find Tangentline parallel or perpendicular to given Line
• Find Point Slope & y=mx+b given Pt & Slope
• Step by Step Differentation
• Higher Derivatives with Evaluation
• Critical Points
• Increasing & Decreasing Functions
• Relative and Absolute Min and Max
• Points of Inflection & Concavity
• Mean Value Theorem
• Rolle's Theorem
• Implicit Differentiation
• Slope of Inverse Function
• All in one Rate Explorer
• Differentiability of piecewise-defined function
• Absolute and Percent Change
• Differentials
• APPS: Max Volume of Folded Box
• APPS: Min Distance Point to Function f(x)
• APPS: Related Rates Find dy/dt

### VECTORS & VECTOR VALUED FUNCTIONS

• 2D: Vector Length, Angle, Dot Product
• Given Position s(t)=(x(t)
• Given Velocity v(t)=(x'(t)
• 3D: Unit Vector, Vector Length, Cross Product
• Find Line Eqn given 2 Vectors
• Find Plane Eqn given 3 Vectors

### INTEGRALS

• Step by Step Integration
• Integration by Trig Substitution
• Integration by Partial Fraction Decomposition
• Find Antiderivative & Constant of Integration: ∫f(x)dx + C
• Definite Integrals (Netarea)
• 1. Fundamental Theorem of Calculus
• 2. Fundamental Theorem of Calculus
• Average Value Theorem
• Find Total Area ∫|f(x)|dx
• Find Enclosed Area ∫U(x)-L(x)dx
• Area Approx RAMS, TRAPEZOID, SIMPSON RULE
• Area Approx. RAM
• Integration of Piecewise defined Function
• Compute ∫(Rate)dt
• Improper Integrals Type 1 & 2
• APPS: CURVE LENGTH of f(x) ∫(1+f'(x)^2)dx
• APPS: VOLUME - Disk Method about x-axis
• APPS: VOLUME - Washer Method about x-axis
• APPS: VOLUME - Shell Method about y-axis
• APPS: VOLUME - Washer Method about y-axis
• APPS: VOLUME - Known Cross Sections
• APPS: SURFACE AREA (x and y-axis)
• READ: Integration by Trig Substitution

### DIFFERENTIAL EQUATIONS

• Solve any 1. order Differential Equation
• Separation of Variables
• Euler Method
• Logistic Differential Equation
• Solve any 2nd order Differential Equations

### HORIZONTAL & VERTICAL MOTION

• Given Position s(t)
• Given Velocity v(t)
• Given Acceleration a(t)

### SEQUENCES & SERIES

• Explicit Sequence & Partial Sum
• Recursive Sequence & Partial Sum
• Sequence Formula Finder
• Sigma S-Notation
• Geometric Series & Convergence Test
• Nth Term Test for Divergence
• Integral Test
• p-Series Test
• Alternating Series Test
• Ratio Test
• Find Sum and Partial Sums
• Develop MacLaurin & Taylor Series using Definition
• Taylor Series with Error Bound
• Compose 2 Taylor Series
• Power Series
• Interval and Radius of Convergence

### PARAMETRIC EQUATIONS

• Eliminate Parameter
• Evaluate and Derivatives
• Tangents
• Curve Length
• Enclosed Area
• Volume of Solids
• Surface Area of Solids

### POLAR EQUATIONS

• Polar Coordinates -> (x,y)
• READ: Symmetry of Polar Equations
• Find Intersection of Polar Functions
• Evaluate and Differentiate d(theta)/dr
• Find dy/dx
• Find Tangent Line
• Horizontal and Vertical Tangents
• Area
• Curve Length
• Find Angle theta given x and r(theta)
• Find Angle theta given y and r(theta)

### MULTIVARIABLE CALCULUS

• Convert 3D Coordinates
• Relative Extrema of f(x)
• Hessian Matrix
• Directional Derivative
• Chain Rule
• Laplace Transforms
• Lagrange Multipliers
• Multiple Integrals: ∫f(x,y)dydx
• Multiple Integrals: ∫∫f(x,y,z)dzdydx
• Find Tangent Plane & Normal Line
• Normal Unit Vector

### ALGEBRA & TRIGONOMETRY

• Solve any Equation or Inequality
• Intersection of 2 Functions
• Simplify Expression
• Factor
• Expand/Distribute
• Partial Fractions
• Evaluate Trig Functions
• READ: Unit Circle: Angles & Coordinates
• READ Circle Properties & Formulas
• Find Circle Sector

### EXPONENTS & LOGARITHMS

• Solve any Equation
• Solve using the Rule 72
• Solve Money/Exponential Growth Problems