Mister Exam

Other calculators

x^2-4
The derivative of the function/ x^2-4

Derivative of x^2-4

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2    
x  - 4
x2−4x^{2} - 4 
d / 2    \
--\x  - 4/
dx
ddx(x2−4)\frac{d}{d x} \left(x^{2} - 4\right)
Transform
Detail solution

  1. Differentiate x2−4x^{2} - 4 term by term:

    1. Apply the power rule: x2x^{2} goes to 2x2 x

    2. The derivative of the constant (−1)4\left(-1\right) 4 is zero.

    The result is: 2x2 x

The answer is:

2x2 x

The graph
02468-8-6-4-2-1010-100100
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
2*x
2x2 x
Simplify
The second derivative [src] 
2
22
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of x^2-4
    © Mister Exam – Calculator