Math Problem Statement
Use the x − a definition of a derivative (p. 144, Equation 5) to find f 0 (2) when f(x) = √ x
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Limits
Derivatives
Formulas
f'(a) = lim_{x → a} (f(x) - f(a)) / (x - a)
Difference of squares: (a^2 - b^2) = (a - b)(a + b)
Theorems
Definition of the Derivative
Limit Laws
Difference of Squares Theorem
Suitable Grade Level
Grades 11-12 (Advanced High School Calculus)
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