Question

Find derivative of the function y = x In x with respect
to x at x = 3.​

Answer 1

Answer:

ln(3) + 1

hope this will help you

Step-by-step explanation:

formula,

d/dx(uv) = u * d/dx(v) + v * d/dx(u)

$derivative \: is \: = ln(x) + x \times \frac{1}{x} = ln(x ) + 1 \\ \\ so \: at \: x = 3 \: \: \\ \\ ln(3) + 1$

Answer 2

Answer:

ln(3) + 1

Step-by-step explanation:

This is because the theorem of derivative of product (Product Rule) says:

y = f(x).g(x)

⇒y'(x) = f'(x).g(x) + f(x).g'(x) where

f(x)=x

f'(x)=1

g(x)=lnx

g'(x) = 1/x

y' = 1.lnx + x.1 /x

=> ln(3) + 1