Mister Exam

You entered:

x^7/10

What you mean?

Derivative of x^7/10

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 7
x 
--
10
$$\frac{x^{7}}{10}$$
  / 7\
d |x |
--|--|
dx\10/
$$\frac{d}{d x} \frac{x^{7}}{10}$$
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
7*x 
----
 10 
$$\frac{7 x^{6}}{10}$$
The second derivative [src]
    5
21*x 
-----
  5  
$$\frac{21 x^{5}}{5}$$
The third derivative [src]
    4
21*x 
$$21 x^{4}$$
The graph
Derivative of x^7/10