Find {eq}f'(x) {/eq}.

{eq}f(x) = x \ln x {/eq}


Find {eq}f'(x) {/eq}.

{eq}f(x) = x \ln x {/eq}

Product Rule:

Product rule is used to differentiate the product of two or more functions. Let {eq}f(x) = g(x) \cdot h(x) {/eq}, then the derivative of {eq}f(x) {/eq} or {eq}f'(x) {/eq} is given by

$$f'(x) = g'(x) \cdot h(x) + h'(x) \cdot g(x). $$

Answer and Explanation: 1

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$$f\left( x \right) = x\ln x \\ $$

Differentiate the function with respect to {eq}x{/eq} using the product rule of differentiation.


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Learn more about this topic:

Finding the Derivative of xln(x)


Chapter 9 / Lesson 10

In mathematics, derivatives are used to understand a function's rate of change as it pertains to specific variables. Learn how to find the derivative of the function xln(x), review the steps to solve this problem, and discover how to check your work with integrals.

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