Two representative elements, nitrogen and oxygen, are in the same period of the periodic table. Which statement correctly describes the atoms of the two elements?
A. They have the same number of valence electrons.
B. They have valence electrons in different energy levels.
C. They have the same number of electrons.
D. They have valence electrons in the same energy level.
Answer (2)
R ′ = x ( ln x ) 2 − 50
General Formulas and Concepts:
Calculus
Differentiation
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]: d x d [ c f ( x )] = c ⋅ f ′ ( x )
Derivative Property [Addition/Subtraction]: d x d [ f ( x ) + g ( x )] = d x d [ f ( x )] + d x d [ g ( x )]
Basic Power Rule:
f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹
Derivative Rule [Quotient Rule]: d x d [ g ( x ) f ( x ) ] = g 2 ( x ) g ( x ) f ′ ( x ) − g ′ ( x ) f ( x ) ;
The derivative of the function R = 100 + l n x 50 is R ′ = x ( l n x ) 2 − 50 . This has been derived using the constant, and quotient rules of differentiation. Understanding this derivative is essential in many calculus applications.
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