Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.3 Exercises: 24

Answer

Rewrite: $2x^{\frac{2}{3}}$ Differentiate: $(2)(\frac{2}{3})(x^{\frac{2}{3}-1})$ Simplify: $\frac{4}{3\sqrt[3] x}$ .

Work Step by Step

Rewrite: Using the Index Rule $(\frac{x^a}{x^b}=x^{a-b})$ . Differentiate: Using the Constant Multiple Rule and the Power Rule, differentiate the expression to get $(2)(\frac{2}{3})(x^{\frac{2}{3}-1})$. Simplify: Multiply out the constants and get rid of the negative exponents.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.