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Suppose 2 x3x ^ { 3 } - 3 p4p ^ { 4 }

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Suppose 2 x3x ^ { 3 } - 3 p4p ^ { 4 } = 6, where x and p are differentiable functions of t. Find dpdt\frac { \mathrm { dp } } { \mathrm { dt } } .

Understand the central concepts of Carl Rogers' humanistic personality theory.
Recognize the influence of family environment and personal experiences on behavior and personality development according to Rogers.
Identify the methods and approaches Rogers deemed valid for understanding and studying personality.
Comprehend the characteristics and attributes of a fully functioning person as conceptualized by Rogers.

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