Mister Exam

Derivative of 7x⁵

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   5
7*x 
$$7 x^{5}$$
d /   5\
--\7*x /
dx      
$$\frac{d}{d x} 7 x^{5}$$
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]
    4
35*x 
$$35 x^{4}$$
The second derivative [src]
     3
140*x 
$$140 x^{3}$$
The third derivative [src]
     2
420*x 
$$420 x^{2}$$
The graph
Derivative of 7x⁵