Math Problem Statement
find the derivative of the 3 dimensional curve r(t)=ti+3j+(2/3t^3/2)k
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Calculus
Differentiation
Vector-Valued Functions
Formulas
Derivative of a constant: d/dt(c) = 0
Power rule: d/dt(t^n) = n * t^(n-1)
Vector derivative: r'(t) = d/dt[r(t)]
Theorems
Power Rule of Differentiation
Suitable Grade Level
Undergraduate - Calculus I or II
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