Mister exam

Derivatives y=x⁸/x²

Function f() - derivative -N order

The graph:

from to

Enter:

The solution

You have entered [src]
 8
x 
--
 2
x 
$$\frac{x^{8}}{x^{2}}$$
x^8/x^2
Detail solution
  1. Apply the quotient rule, which is:

    and .

    To find :

    1. Apply the power rule: goes to

    To find :

    1. Apply the power rule: goes to

    Now plug in to the quotient rule:


The answer is:

The graph
The first derivative [src]
            7
     5   8*x 
- 2*x  + ----
           2 
          x  
$$\frac{8 x^{7}}{x^{2}} - 2 x^{5}$$
The second derivative [src]
    4
30*x 
$$30 x^{4}$$
The third derivative [src]
     3
120*x 
$$120 x^{3}$$
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