MATH 1314 Lesson 6: Derivatives.

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Presentation transcript:

MATH 1314 Lesson 6: Derivatives

The Tangent Line Question

Secant Line to Tangent Line https://www.desmos.com/calculator/bxk8b4uotw

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: 𝑄𝑢𝑒𝑠𝑡𝑖𝑜𝑛2 =𝑄𝑢𝑒𝑠𝑡𝑖𝑜𝑛(3) 𝑄𝑢𝑒𝑠𝑡𝑖𝑜𝑛 (4) −𝑄𝑢𝑒𝑠𝑡𝑖𝑜𝑛(5) 𝑄𝑢𝑒𝑠𝑡𝑖𝑜𝑛 (6) a. f(x) b. h c. f’(x) d. f(x+h) e. lim ℎ→0

Rules for Finding Derivatives

The Second Derivative

Popper 3:

Popper 3…continued: