#### Infinite Geometry

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**Infinite Calculus** covers all of the fundamentals of Calculus: limits, continuity, differentiation, and integration as well as applications such as related rates and finding volume using the cylindrical shell method. Designed for all levels of learners, from beginning to advanced.

Author: | Kuta Software LLC. |

License: | Trialware |

Price: | $119.00 |

Released: | Aug 9, 2018 |

File size: | 24.20 MB |

Downloads: | 95 |

Keywords: | math worksheet, math test, quizz generator, math, worksheet, quizz |

Author URL: | http://www.kutasoftware.com/ |

Infinite Calculus covers all of the fundamentals of Calculus: limits, continuity, differentiation, and integration as well as applications such as related rates and finding volume using the cylindrical shell method. Designed for all levels of learners, from beginning to advanced.

Once you have created an assignment, you can regenerate all of its questions with a single click. The new questions will conform to the same parameters as the original questions, but they will be completely new. This feature is at the heart of our software and is what makes it so powerful: you choose the properties of the questions, not the questions themselves. When a question is replaced, you get a new one that is similar to the original question.

FEATURES:

Limits and Continuity

Limits by direct evaluation

Limits at jump discontinuities and kinks

Limits at removable discontinuities

Limits at infinity

Determining and classifying continuity

Differentiation

Average rates of change

Definition of the derivative

Instantaneous rates of change

Power rule of differentiation

Higher order derivatives

Product rule of differentiation

Quotient rule of differentiation

Chain rule of differentiation

Differentiation rules using tables

Trigonometric differentiation

Inverse trigonometric differentiation

Differentiating natural logarithms and exponentials

Differentiating other base logarithms and exponentials

Logarithmic differentiation

Implicit differentiation

Differentiating inverse functions

Applications of Differentiation

Slope, tangent, and normal lines

Rolle's Theorem

Mean Value Theorem

Intervals of increase and decrease

Intervals of concavity

Relative extrema

Absolute extrema

Optimization

Curve sketching

Graphical comparison of a function and its derivatives

Motion along a line

Related rates

Differentials

Newton's Method

L'HÃ´pital's Rule

Indefinite Integration

Power rule of integration

Logarithmic rule and exponentials

Trigonometric integration

Integrating inverse trig functions

Integrating using the power rule with substitution

Integrating using the logarithmic rule and exponentials with substitution

Trigonometric integration with substitution

Inverse trigonometric integration with substitution

Integration by parts

Definite Integration

Approximating area under a curve

Riemann sum tables

First Fundamental Theorem of Calculus

Substitution with change of variables

Mean Value Theorem

Second Fundamental Theorem of Calculus

Applications of Integration

Area between curves

Finding volume by slicing, disks and washers

Finding volume using the cylindrical shell method

Motion along a line revisited

Differential Equations

Slope fields

Introduction to differential equations

Separable differential equations