how do you determine the second deriviative of x^3-7x^2+36​

Question

how do you determine the second deriviative of x^3-7x^2+36​

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Mít Mít 4 years 2021-08-31T18:10:56+00:00 2 Answers 8 views 0

Answers ( )

  1. Acacia
    0
    2021-08-31T18:12:26+00:00
    Reply

    Answer:

    6x – 14

    General Formulas and Concepts:

    Pre-Algebra

    Order of Operations: BPEMDAS

    1. Brackets
    2. Parenthesis
    3. Exponents
    4. Multiplication
    5. Division
    6. Addition
    7. Subtraction
    • Left to Right

    Calculus

    Derivatives

    Derivative Notation

    Basic Power Rule:

    • f(x) = cxⁿ
    • f’(x) = c·nxⁿ⁻¹

    Step-by-step explanation:

    Step 1: Define

    Identify

    f(x) = x³ – 7x² + 36

    Step 2: Differentiate

    1. Basic Power Rule:                                                                                             f'(x) = 3x³⁻¹ – 2 · 7x²⁻¹ + 0
    2. Simplify:                                                                                                             f'(x) = 3x² – 14x
    3. Basic Power Rule:                                                                                             f”(x) = 2 · 3x²⁻¹ – 1 · 14x¹⁻¹
    4. Simplify:                                                                                                              f”(x) = 6x – 14

    Topic: AP Calculus AB/BC (Calculus I/I + II)

    Unit: Derivatives

    Book: College Calculus 10e

  2. Sapo1
    0
    2021-08-31T18:12:35+00:00
    Reply

    Answer:

    6x -14

    Step-by-step explanation:

    x^3-7x^2+36​

    Take the first derivative

    3x^2 -14x

    Now take the derivative again

    6x -14

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