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

Derivative of 2x^2-1

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

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The solution

You have entered [src] 
   2    
2*x  - 1
2x2−12 x^{2} - 1 
d /   2    \
--\2*x  - 1/
dx
ddx(2x2−1)\frac{d}{d x} \left(2 x^{2} - 1\right)
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Detail solution

  1. Differentiate 2x2−12 x^{2} - 1 term by term:

    1. 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: 4x4 x

    2. The derivative of the constant (−1)1\left(-1\right) 1 is zero.

    The result is: 4x4 x

The answer is:

4x4 x

The graph
02468-8-6-4-2-1010-250250
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
4*x
4x4 x
Simplify
The second derivative [src] 
4
44
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of 2x^2-1
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