Mister Exam

Derivative of x^4+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4    
x  + 1
$$x^{4} + 1$$
d / 4    \
--\x  + 1/
dx        
$$\frac{d}{d x} \left(x^{4} + 1\right)$$
Detail solution
  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
   3
4*x 
$$4 x^{3}$$
The second derivative [src]
    2
12*x 
$$12 x^{2}$$
The third derivative [src]
24*x
$$24 x$$
The graph
Derivative of x^4+1