$$\text { Use implicit differentiation to find } d y / d x \text { and } \mathrm { d } ^ { 2 } y / d x ^ { 2 } \text {. }$$

question 239

Multiple Choice

$$\text { Use implicit differentiation to find } d y / d x \text { and } \mathrm { d } ^ { 2 } y / d x ^ { 2 } \text {. }$$
- $$2 y - x + x y = 7$$

• A) \(\frac { \mathrm { dy } } { \mathrm { dx } } = \frac { 1 - \mathrm { y } } { 2 + \mathrm { x } } ; \frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } ^ { 2 } } = \frac { 2 \mathrm { y } - 2 } { ( 2 + \mathrm { x } ) ^ { 2 } }\)
• B) \(\frac { d y } { d x } = \frac { y + 1 } { x + 2 } ; \frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { 2 y + 2 } { ( x + 2 ) ^ { 2 } }\)
• C) \(\frac { \mathrm { dy } } { \mathrm { dx } } = - \frac { 1 + \mathrm { y } } { \mathrm { x } + 2 } ; \frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } ^ { 2 } } = \frac { \mathrm { y } + 1 } { ( 2 + \mathrm { x } ) ^ { 2 } }\)
• D) \(\frac { \mathrm { dy } } { \mathrm { dx } } = - \frac { 1 + \mathrm { y } } { \mathrm { x } + 2 } ; \frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } ^ { 2 } } = \frac { 2 \mathrm { y } - 2 } { ( \mathrm { x } + 2 ) ^ { 2 } }\)

Understand the role of trial and error in learning through circular reactions.

Understand the concept and developmental importance of the imitation reflex in newborns.

Recognize memory capabilities and developmental milestones in infants.

Identify the key components and measures of infant intelligence.

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