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WEEK 33-REVIEW-AND-SYNTHESIS-OF-CALCULUS-CONCEPTS

VIMSCHOOL

Created on October 12, 2025

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Review and Synthesis of Calculus Concepts

Objectives

Start

Story

Functions and Limits

Differentiation and Integration

Practice

Summary

Story

Functions and Limits

FUNCTIONS

LINEAR

Exponential

QUADRATIC

Logarithmic

RATIONAL

Trigonometric

Trigonometric Inverse

RADICAL

Limit and Continuity of a Function

continuous function

not continuous functions

Limit does not exist.

Differentiation and Integration

Derivation Rules

Derivatives of Some Common Functions

Rules of Integrals

Fundamental theorem of calculus:

Integrals of Some Common Functions

Practice

1/5

Find

2/5

Select the function corresponding to the graph below.

3/5

For Find y'.

4/5

Find f'(x) fr the function below.

5/5

Find the area under the curve 1/x:

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

6TH-INTRODUCTIONTORATIONALNUMBERS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

MA.912.C.1 Develop an understanding for limits and continuity. Determine limits and continuity. MA.912.C.1.10 Given the graph of a function, identify whether a function is continuous at a point. If not, identify the type of discontinuity for the given function. MA.912.C.3 Apply derivatives to solve problems. MA.912.C.3.6 Sketch graphs by using first and second derivatives. Compare the corresponding characteristics of the graphs of f, f' and f". MA.912.C.4 Develop an understanding for and determine integrals. MA.912.C.4.4 Evaluate definite integrals by using the Fundamental Theorem of Calculus. MA.912.C.5 Apply integrals to solve problems. MA.912.C.5.6 Find the average value of a function over a closed interval by using definite integrals. MA.K12.MTR.7: Apply mathematics to real-world contexts. MA.K12.MTR.7.1 Apply mathematics to real-world contexts.

MATERIAL

It is highly advised to have:

  • Grid paper.
  • Pencils of different colors.
  • Eraser.
  • A rule.
  • A calculator.
  • Geogebra installed on your phone/tablet/computer (or use online version).