Let f(t) = √t. For a 0, find f'(a). f'(a) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Q10. Please answer this question 

Let \( f(t) = \sqrt[3]{t} \).

For \( a \neq 0 \), find \( f'(a) \).

\( f'(a) = \) [Answer Box with Incorrect Mark]

Explanation:
- The problem asks for the derivative \( f'(a) \) of the function \( f(t) = \sqrt[3]{t} \) at a point \( a \neq 0 \).
- There is an answer box provided for the solution, marked with an "incorrect" indicator (usually an "X"), suggesting a common format for answer submissions in educational platforms.
Transcribed Image Text:Let \( f(t) = \sqrt[3]{t} \). For \( a \neq 0 \), find \( f'(a) \). \( f'(a) = \) [Answer Box with Incorrect Mark] Explanation: - The problem asks for the derivative \( f'(a) \) of the function \( f(t) = \sqrt[3]{t} \) at a point \( a \neq 0 \). - There is an answer box provided for the solution, marked with an "incorrect" indicator (usually an "X"), suggesting a common format for answer submissions in educational platforms.
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