Differentiating a logarithmic function in exercise, find the derivative of the function. see examples 1, 2, 3, and 4.
f(x) = 2x ln x

Step-by-step explanation:

From our knowledge of derivatives we use the product rule approach, the product rule is stated below

For f(x)=u(x)v(x) the derivative is express as

hence from the question f(x)=2xlnx,

we can assign u(x)=2x and v(x)=lnx

also the derivative of u(x)=2x is simply

and the derivative of v(x)=lnx can be express using the general log derivative i.e

hence we have

if we substitute value into the general product expression stated earlier we arrive at

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)