Mister Exam

Derivative of 3x^7

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   7
3*x 
$$3 x^{7}$$
d /   7\
--\3*x /
dx      
$$\frac{d}{d x} 3 x^{7}$$
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: goes to

    So, the result is:


The answer is:

The graph
The first derivative [src]
    6
21*x 
$$21 x^{6}$$
The second derivative [src]
     5
126*x 
$$126 x^{5}$$
The third derivative [src]
     4
630*x 
$$630 x^{4}$$
7-th derivative [src]
15120
$$15120$$
The graph
Derivative of 3x^7