1.1 A Preview of Calculus

What is Calculus?

• Calculus is the mathematics of CHANGE

• Calculus is a more dynamic version of pre-calculus – more complex and applicable to real world situations – multidimensional

• Calculus is not a different math, it is a continuation of what you have already learned with applications to actual real world situations

1.1 A Preview of Calculus

Example 1

1.1 A Preview of Calculus

Example 2

1.1 A Preview of Calculus

Example 3

1.1 A Preview of Calculus

Example 4

1.1 A Preview of Calculus

Example 5

1.1 A Preview of Calculus

The 3 Main Ideas

• Limits – detailed curve sketching

• Derivatives – rates of change/slope of tangent lines

• Anti-Derivatives – area and volume of any shape or solid

1.1 A Preview of Calculus

Tangent Line Problem

1.1 A Preview of Calculus .1at 215 toline tangent theFind .1 2 xxxf

1.1 A Preview of Calculus .1at 215 toline tangent theFind .1 2 xxxf

1

1

x

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215 2

x

x 13

1

22 2

x

x

x mPQ

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01.1

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x mPQ

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8.3

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1.1 A Preview of Calculus

Area Problem

1.1 A Preview of Calculus

 

1.1 A Preview of Calculus

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