Explanation Given: d d x ( t f ( t ) ) = 1 + f ( t ) . Formula Used: Product rule of derivative is as follows: ( f . g ) ′ = f ′ . g + f . g ′ Calculation: Given that d d x ( t f ( t ) ) = 1 + f ( t ) . Using product rule of derivative, we have d d x ( t ) × f ( t ) + ( t ) × d d x f ( t ) = 1 + f (

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ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 3.4, Problem 38P

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To find f′(t), if ddx(tf(t))=1+f(t).

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Chapter 3.4, Problem 37P

Chapter 3.4, Problem 39P

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To find f ′ ( t ) , if d d x ( t f ( t ) ) = 1 + f ( t ) .

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To find f′(t), if ddx(tf(t))=1+f(t).

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Chapter 3 Solutions