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lnx^2-1
The derivative of the function/ lnx^2-1

Derivative of lnx^2-1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   2       
log (x) - 1
$$\log{\left(x \right)}^{2} - 1$$ 
d /   2       \
--\log (x) - 1/
dx
$$\frac{d}{d x} \left(\log{\left(x \right)}^{2} - 1\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Let .

    2. Apply the power rule: goes to

    3. Then, apply the chain rule. Multiply by :

      1. The derivative of is .

      The result of the chain rule is:

    4. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
2*log(x)
--------
   x
$$\frac{2 \log{\left(x \right)}}{x}$$
Simplify
The second derivative [src] 
2*(1 - log(x))
--------------
       2      
      x
$$\frac{2 \cdot \left(- \log{\left(x \right)} + 1\right)}{x^{2}}$$
Simplify
The third derivative [src] 
2*(-3 + 2*log(x))
-----------------
         3       
        x
$$\frac{2 \cdot \left(2 \log{\left(x \right)} - 3\right)}{x^{3}}$$
Simplify
The graph
Derivative of lnx^2-1
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