Question

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

Answer 1

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

Answer 2

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