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Section 5 - Ms. Monaco's Math ... Section 5.4 Exponential Functions – Differentiation and Integration The inverse of the natural log function is 𝑥= 𝑥-3 -2 -1 1 2 3-3-2-1 1

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Text of Section 5 - Ms. Monaco's Math ... Section 5.4 Exponential Functions – Differentiation and...

  • Section 5.4

    Exponential Functions – Differentiation and Integration

  • The inverse of the natural log function is 𝑓 𝑥 = 𝑒𝑥

    -3 -2 -1 1 2 3

    -3

    -2

    -1

    1

    2

    x

    y

  • Ex1: Solve 17 xe 

  • Ex2: Find the relative extrema of ( ) xf x xe

  • Ex3: Integrate

    a) b)3 1xe dx 2

    5 xxe dx

  • c) d)

    1

    2

    xe dx

    x cos(sin )( )xx e dx

  • Ex4a: 1

    0

    xe dx

    1

    1

    x

    y

  • Ex4b: 1

    0 1

    x

    x

    e dx

    e

    1

    1

    x

    y

  • Ex4c: 0

    1

    cos( )x xe e dx 

      

    -1

    1

    x

    y

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