Mister Exam

Derivative of y=8x^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   4
8*x 
$$8 x^{4}$$
d /   4\
--\8*x /
dx      
$$\frac{d}{d x} 8 x^{4}$$
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]
    3
32*x 
$$32 x^{3}$$
The second derivative [src]
    2
96*x 
$$96 x^{2}$$
The third derivative [src]
192*x
$$192 x$$
The graph
Derivative of y=8x^4