Mister Exam

Other calculators

5x^4+1
The derivative of the function/ 5x^4+1

Derivative of 5x^4+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   4    
5*x  + 1
$$5 x^{4} + 1$$
Transform
Detail solution

  1. Differentiate term by term:

    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:

    2. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    3
20*x
$$20 x^{3}$$
Simplify
The second derivative [src] 
    2
60*x
$$60 x^{2}$$
Simplify
The third derivative [src] 
120*x
$$120 x$$
Simplify
The graph
Derivative of 5x^4+1
    © Mister Exam – Calculator