Mister Exam

Other calculators

lnx+1
The derivative of the function/ lnx+1

Derivative of lnx+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
log(x) + 1
log⁡(x)+1\log{\left(x \right)} + 1 
log(x) + 1
Detail solution

  1. Differentiate log⁡(x)+1\log{\left(x \right)} + 1 term by term:

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

    2. The derivative of the constant 11 is zero.

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

The answer is:

1x\frac{1}{x}

The graph
02468-8-6-4-2-1010-2020
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
1
-
x
1x\frac{1}{x}
Simplify
The second derivative [src] 
-1 
---
  2
 x
−1x2- \frac{1}{x^{2}}
Simplify
The third derivative [src] 
2 
--
 3
x
2x3\frac{2}{x^{3}}
Simplify
The graph
Derivative of lnx+1
    © Mister Exam – Calculator