Explanation Given Information: The provided expression is ( t 3 − 4 ) ( t 3 − 2 t 2 − t − 5 ) . Formula Used: The quotient rule : If two functions are given in the form f ( x ) g ( x ) , then the derivative is given as, d d x ( f g ) = f ′ . g − g ′ . f g 2 Calculation: Consider the provided expression is ( t 3 − 4 ) ( t 3 − 2 t 2 − t − 5 ) . In the expression, the value of, f ( t ) = ( t 3 − 4 ) And g ( t ) = ( t 3 − 2 t 2 − t − 5 ) Apply the quotient rule of the expression, d d t ( f g ) = d d t ( t 3 − 4 ) . ( t 3 − 2 t 2 − t − 5 ) − d d t ( t 3 − 2 t 2 − t − 5 ) . ( t 3 − 4 ) ( t 3 − 2 t 2 − t − 5 ) 2 Evaluate the expression further, d d t ( f g ) = ( d d t ( t 3 ) − d d t ( 4 ) ) . ( t 3 − 2 t 2 − t − 5 ) − ( d d t ( t 3 ) − 2 d d t ( t 2 ) − d d t ( t ) − d d t ( 5 ) )

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Author: HARSHBARGER

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Chapter 9.5, Problem 14E

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To calculate: The derivative of the expression (t3−4)(t3−2t2−t−5) with simplification.

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Chapter 9.5, Problem 13E

Chapter 9.5, Problem 15E

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Chapter 9 Solutions

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The derivative of the expression ( t 3 − 4 ) ( t 3 − 2 t 2 − t − 5 ) with simplification.

Solution Summary: The author explains how to calculate the derivative of the expression (t3-4).

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To calculate: The derivative of the expression (t3−4)(t3−2t2−t−5) with simplification.

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Chapter 9 Solutions