Mister Exam

Derivative of 5*x^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   3
5*x 
5x35 x^{3}
5*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: 15x215 x^{2}


The answer is:

15x215 x^{2}

The graph
02468-8-6-4-2-1010-1000010000
The first derivative [src]
    2
15*x 
15x215 x^{2}
The second derivative [src]
30*x
30x30 x
The third derivative [src]
30
3030
The graph
Derivative of 5*x^3