Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.2 Derivatives And Integrals Involving Logarithmic Functions - Exercises Set 6.2: 10

Answer

$\frac{3ln(x)^{2}}{x}$

Work Step by Step

Taking the derivative of the expression requires chain rule. Treating $ln(x)$ as the base of an exponent, $dy/dx$ is equal to $3(ln(x))^{2} \times \frac{1}{x}=\frac{3ln(x)^{2}}{x}$. (multiply the expression by the derivative of the inside function)
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