Mister Exam

Derivative of x+lnx

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
x + log(x)
x+log(x)x + \log{\left(x \right)}
x + log(x)
Detail solution
  1. Differentiate x+log(x)x + \log{\left(x \right)} term by term:

    1. Apply the power rule: xx goes to 11

    2. The derivative of log(x)\log{\left(x \right)} is 1x\frac{1}{x}.

    The result is: 1+1x1 + \frac{1}{x}

  2. Now simplify:

    x+1x\frac{x + 1}{x}


The answer is:

x+1x\frac{x + 1}{x}

The graph
02468-8-6-4-2-1010-2525
The first derivative [src]
    1
1 + -
    x
1+1x1 + \frac{1}{x}
The second derivative [src]
-1 
---
  2
 x 
1x2- \frac{1}{x^{2}}
The third derivative [src]
2 
--
 3
x 
2x3\frac{2}{x^{3}}
The graph
Derivative of x+lnx