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# L18 - -π 3 for t> 0 When is acceleration zero Find...

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L18 – Higher Derivatives Notation: Let f ( x ) = x 3 + 3 x 2 - 2 x + 5. Find the fourth derivative of f . 1

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If f ( x ) = 1 x , ﬁnd f ( n ) ( x ). n ! = 2
If f ( x ) = sin( x ), ﬁnd the eleventh derivative of f . 3

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If x 2 + y 2 = 9, ﬁnd y 00 . 4
For the position function, s ( t ) v ( t ) a ( t ) What does s 000 ( t ) represent? 5

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The position of an object at any time t is given by s ( t ) = sin( πt

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Unformatted text preview: -π 3 ) for t > 0. When is acceleration zero? Find acceleration when velocity is zero. 6 Let s ( t ) = 3 t 4-6 t 3 + 3 t 2 represent the position of an object at time t . When is the object speeding up? 7 When is the object slowing down? 8...
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L18 - -π 3 for t> 0 When is acceleration zero Find...

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