Mister Exam

Derivative of 8x^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   3
8*x 
8x38 x^{3}
d /   3\
--\8*x /
dx      
ddx8x3\frac{d}{d x} 8 x^{3}
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}

    So, the result is: 24x224 x^{2}


The answer is:

24x224 x^{2}

The graph
02468-8-6-4-2-1010-2000020000
The first derivative [src]
    2
24*x 
24x224 x^{2}
The second derivative [src]
48*x
48x48 x
The third derivative [src]
48
4848
The graph
Derivative of 8x^3