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MATH 1314 Lesson 6: Derivatives.

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Presentation on theme: "MATH 1314 Lesson 6: Derivatives."β€” Presentation transcript:

1 MATH 1314 Lesson 6: Derivatives

2 The Tangent Line Question

3 Secant Line to Tangent Line

4

5

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7 Popper 2: Finding the slope of the tangent line uses:
slope of the secant line b. the difference quotient c. the use of limits d. all of the above Complete the following statement: π‘„π‘’π‘’π‘ π‘‘π‘–π‘œπ‘›2 =π‘„π‘’π‘’π‘ π‘‘π‘–π‘œπ‘›(3) π‘„π‘’π‘’π‘ π‘‘π‘–π‘œπ‘› (4) βˆ’π‘„π‘’π‘’π‘ π‘‘π‘–π‘œπ‘›(5) π‘„π‘’π‘’π‘ π‘‘π‘–π‘œπ‘› (6) a. f(x) b. h c. f’(x) d. f(x+h) e. lim β„Žβ†’0

8 Rules for Finding Derivatives

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12 The Second Derivative

13 Popper 3:

14 Popper 3…continued:

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