nikeahbrown
13.06.2021 •
Mathematics
Differentiate the function. y = (2x - 5)^2 (5 - x)?
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Ответ:
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]:
Derivative Rule [Chain Rule]:
Step-by-step explanation:
Step 1: Define
Identify
y = (2x - 5)²(5 - x)
Step 2: Differentiate
Derivative Rule [Product Rule]: Chain Rule [Basic Power Rule]: Simplify: Basic Power Rule: Simplify: Multiply: Factor: [Distributive Property] Distribute 4: [Distributive Property] Distribute negative: [Subtraction] Combine like terms (x): [Addition] Combine like terms: Factor:Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Ответ:
Chana's distance from the starting line at a time when she is behind Josiah
Step-by-step explanation:
Point III is on line bbb, so it does represent Chana's distance at a certain time. Also, point III is below line aaa, so it represents a distance that is less than Josiah's distance