# How do you find the derivative of #18lnx+x^2+5#?

##### 1 Answer

Apr 14, 2016

#### Explanation:

Through the **sum rule**, to find this function's derivative, add each part's derivative to one another:

Thus, we just need to find the derivative of each part:

#d/dx(18lnx)=18d/dx(lnx)=18(1/x)=18/x#

Recall that

Through the power rule, we see that

#d/dx(x^2)=2x#

And, since

#d/dx(5)=0#

Thus, the function's derivative is

#18/x+2x+0" "=" "color(blue)(18/x+2x#