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

question 79

Multiple Choice

$$\text { Use implicit differentiation to find } d y / d x \text { and } \mathrm { d } ^ { 2 } y / d x ^ { 2 } \text {. }$$
- $$x ^ { 2 } - y ^ { 3 } = 6$$

• A) \(\frac { d y } { d x } = \frac { 2 x } { 3 y ^ { 2 } } ; \frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { 6 y ^ { 3 } - 8 x ^ { 2 } } { 9 y ^ { 5 } }\)
• B) \(\frac { \mathrm { dy } } { \mathrm { dx } } = \frac { 2 \mathrm { x } } { 3 \mathrm { y } ^ { 2 } } ; \frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx^{2 } } } = \frac { 5 \mathrm { y } ^ { 3 } - 8 \mathrm { x } ^ { 2 } } { 9 \mathrm { y } ^ { 5 } }\)
• C) \(\frac { d y } { d x } = \frac { 2 x } { 3 y ^ { 2 } } ; \frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { 6 y ^ { 3 } - 8 x ^ { 2 } } { 9 y ^ { 6 } }\)
• D) \(\frac { \mathrm { dy } } { \mathrm { dx } } = \frac { 2 \mathrm { x } } { 3 \mathrm { y } ^ { 2 } } ; \frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } ^ { 2 } } = \frac { 6 \mathrm { y } ^ { 3 } - 8 \mathrm { x } ^ { 2 } } { 9 \mathrm { y } ^ { 3 } }\)

Identify the components and functions of self-regulation systems.

Recognize the role of action identification and construal level theories in goal setting and task approach.

Comprehend the principles of affective forecasting and its impact on emotional expectations.

Describe the concept of ego depletion and its effect on self-control.

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