Simplify the Difference Quotient $$\frac { f ( x + h ) - f ( x ) } { h }$$

question 52

Multiple Choice

Simplify the difference quotient: $$\frac { f ( x + h ) - f ( x ) } { h }$$
- $$x ^ { 4 } - 3 x ^ { 2 } - 1$$

• A) \(4 x ^ { 3 } h + 6 x ^ { 2 } h ^ { 2 } + 4 x h ^ { 3 } + h ^ { 4 } - 6 x ^ { 2 } h + h ^ { 2 }\)
• B) \(x ^ { 4 } + 4 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x ^ { 2 } + h\)
• C) \(4 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x - 3 h\)
• D) \(4 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x ^ { 2 } + h - 1\)

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Definitions:

T Accounts

A visual representation of a ledger account that separates debits and credits, making the accounting process simpler.

Debit

An accounting entry that either increases an asset or expense account, or decreases a liability or equity account.

Credit

An accounting entry that may either decrease assets or expenses or increase liabilities, equity, and income, recorded on the right side of an accounting ledger.

Trial Balance

An accounting report that lists all the balances in a company's ledger accounts, used to check the accuracy of bookkeeping entries.