Answer
$dy/dx=\ln(x)+1$
Work Step by Step
Using the product rule for derivatives ($[uv]'=u'v+uv'$), the derivative of $xln(x)$ equals $(x)'ln(x)+x(ln(x))'$=$ln(x)+\frac{x}{x}=\boxed{\ln(x)+1}$.
Calculus, 10th Edition (Anton)
by Anton, Howard
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 - Page 425: 13
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