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1/1-x^2

Derivative of 1/1-x^2

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

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The solution

You have entered [src]
     2
1 - x 
1x21 - x^{2}
d /     2\
--\1 - x /
dx        
ddx(1x2)\frac{d}{d x} \left(1 - x^{2}\right)
Detail solution
  1. Differentiate 1x21 - x^{2} term by term:

    1. The derivative of the constant 11 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: x2x^{2} goes to 2x2 x

      So, the result is: 2x- 2 x

    The result is: 2x- 2 x


The answer is:

2x- 2 x

The graph
02468-8-6-4-2-1010-200100
The first derivative [src]
-2*x
2x- 2 x
The second derivative [src]
-2
2-2
The third derivative [src]
0
00
The graph
Derivative of 1/1-x^2