PLEASE HELP!!! CALCULUS ASSIGNMENT
2 answers:
Answer:
(d)
General Formulas and Concepts:
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Differentiate</u>
- Basic Power Rule:
- Simplify:
- Multiply:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
( d ) 12x³ - 15x² + 2
Step-by-step explanation:
y = 3x⁴ - 5x³ + 2x - 1
- The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.
y = 12x³ - 15x² + 2⁰
- For any term t except 0, t⁰ = 1.
y = 12x³ - 15x² + 2 × 1
y = 12x³ - 15x² + 2
Hence, option ( d ) is the correct answer.
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