Mister Exam

Derivative of y=ln*1+x/1-x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
         x    
log(1) + - - x
         1    
x+(x1+log(1))- x + \left(\frac{x}{1} + \log{\left(1 \right)}\right)
log(1) + x/1 - x
Detail solution
  1. Differentiate x+(x1+log(1))- x + \left(\frac{x}{1} + \log{\left(1 \right)}\right) term by term:

    1. Differentiate x1+log(1)\frac{x}{1} + \log{\left(1 \right)} term by term:

      1. The derivative of the constant log(1)\log{\left(1 \right)} is zero.

      2. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: xx goes to 11

        So, the result is: 111^{-1}

      The result is: 111^{-1}

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: xx goes to 11

      So, the result is: 1-1

    The result is: 00


The answer is:

00

The graph
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
The first derivative [src]
0
00
The second derivative [src]
0
00
The third derivative [src]
0
00
The graph
Derivative of y=ln*1+x/1-x