Find the Derivative of F(x) = $x ^ { 5 / 2 }$

question 172

Multiple Choice

Find the derivative of f(x) = $x ^ { 5 / 2 }$ .

• A) 5 \(x ^ { 3 / 2 }\)
• B) \(\frac { 5 } { 2 }\) \(x ^ { - 1 / 2 }\)
• C) \(\frac { 5 } { 2 }\) \(x ^ { 3 / 2 }\)
• D) \(\frac { 2 } { 5 }\) \(x ^ { - 1 / 2 }\)

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Definitions:

Sensorimotor Stage

The first of Jean Piaget's stages of cognitive development, where infants learn about the world through their sensory and motor interactions.

Preoperational Stage

A stage of cognitive development, according to Piaget, where children aged 2 to 7 years engage in symbolic play and struggle with taking the perspective of others.

Emerging Adulthood

A phase of life between adolescence and full-fledged adulthood, typically from late teens through twenties, characterized by exploration and self-discovery.

Self-focus

The act of concentrating attention on oneself, often analyzing one’s own thoughts, feelings, and behaviors.