Differentiate the function. √/t+6√3 u' = = n 7/ X

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...
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**Differentiate the function.**

Given:
\[ u = \sqrt[3]{t} + 6 \sqrt{t^3} \]

To find \( u' \).

There is an empty box indicating where the solution should be placed, and a red "X" next to it, implying an incorrect or incomplete solution.
Transcribed Image Text:**Differentiate the function.** Given: \[ u = \sqrt[3]{t} + 6 \sqrt{t^3} \] To find \( u' \). There is an empty box indicating where the solution should be placed, and a red "X" next to it, implying an incorrect or incomplete solution.
**Differentiate the function.**

Given the function:

\[ v = \left( \sqrt{x} + \frac{1}{3\sqrt{x}} \right)^2 \]

Find the derivative \( v' \).

- A blank box is provided for the answer where the derivative should be input.
- A red "X" indicates an incorrect answer.
Transcribed Image Text:**Differentiate the function.** Given the function: \[ v = \left( \sqrt{x} + \frac{1}{3\sqrt{x}} \right)^2 \] Find the derivative \( v' \). - A blank box is provided for the answer where the derivative should be input. - A red "X" indicates an incorrect answer.
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