What is derivative of xlnx?

The derivative of x*ln(x) can be found using the Product Rule.

Let u = x and v = ln(x). Then:

• du/dx = 1
• dv/dx = 1/x

The Product Rule states that d/dx (u*v) = u*(dv/dx) + v*(du/dx).

Therefore, the derivative of x*ln(x) is:

x*(1/x) + ln(x)*1 = 1 + ln(x)

So, d/dx (x*ln(x)) = 1 + ln(x)

Key concepts: Derivatives, Natural%20Logarithm.