Mister Exam

Derivative of y=x²-3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 2    
x  - 3
x23x^{2} - 3
d / 2    \
--\x  - 3/
dx        
ddx(x23)\frac{d}{d x} \left(x^{2} - 3\right)
Detail solution
  1. Differentiate x23x^{2} - 3 term by term:

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

    2. The derivative of the constant (1)3\left(-1\right) 3 is zero.

    The result is: 2x2 x


The answer is:

2x2 x

The graph
02468-8-6-4-2-1010-100100
The first derivative [src]
2*x
2x2 x
The second derivative [src]
2
22
The third derivative [src]
0
00
The graph
Derivative of y=x²-3