Calculus Unit 1-Challenge 1

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Western Governors University *

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CALCULUS1

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Mathematics

Date

Jan 9, 2024

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docx

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5

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Evaluate the difference quotient for . ° a.) ° ° b.) ° ° c.) ° ° d.) ° ° d.) Correct. For f ( x + h ), substitute ( x + h ) for x : Write the expression without the brackets:
Simplify the complex fraction by multiplying the numerator and denominator by the lowest common denominator of the fractions in the numerator: Divide out the common factor h :
Evaluate the difference quotient for . ° a.) ° ° b.) ° ° c.) ° ° d.) ° ° d.) Correct. For f ( x + h ), substitute ( x + h ) for x : Simplify the first quantity in brackets: Distribute the subtraction sign:
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Simplify the numerator: Factor the numerator: Divide out the common factor: Evaluate the difference quotient for . ° a.) ° ° b.) ° ° c.) ° ° d.) °
° a.) Incorrect. It is important to multiply out the binomial times itself: . ° c.) Correct. For f ( x + h ), substitute ( x + h ) for x : Simplify the first quantity in brackets: Distribute the subtraction sign: Simplify the numerator: Factor the numerator: Divide out the common factor: