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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Question
have to find the dervivate of u -
![The mathematical equation shown is:
\[ u = \sqrt[3]{t^2} + 5\sqrt{t^3} \]
### Explanation:
- The expression involves two terms.
- The first term \(\sqrt[3]{t^2}\) represents the cube root of \(t^2\). It means that we are taking the cube root of the quantity \(t\) raised to the power of 2.
- The second term \(5\sqrt{t^3}\) includes the constant 5 multiplied by the square root of \(t^3\). It involves taking the square root of the quantity \(t\) raised to the power of 3 and then multiplying the result by 5.
This equation can be used to model various mathematical or scientific phenomena where root expressions are involved.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6ec190f-53e9-4e94-9a25-0c7f4fe861d8%2F1c3b0bfe-f8ac-495e-88f4-c4afc5bff124%2Ffzjt4u3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The mathematical equation shown is:
\[ u = \sqrt[3]{t^2} + 5\sqrt{t^3} \]
### Explanation:
- The expression involves two terms.
- The first term \(\sqrt[3]{t^2}\) represents the cube root of \(t^2\). It means that we are taking the cube root of the quantity \(t\) raised to the power of 2.
- The second term \(5\sqrt{t^3}\) includes the constant 5 multiplied by the square root of \(t^3\). It involves taking the square root of the quantity \(t\) raised to the power of 3 and then multiplying the result by 5.
This equation can be used to model various mathematical or scientific phenomena where root expressions are involved.
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