Mister Exam

Other calculators

4*x^4
The derivative of the function/ 4*x^4

Derivative of 4*x^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   4
4*x
$$4 x^{4}$$ 
4*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
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    3
16*x
$$16 x^{3}$$
Simplify
The second derivative [src] 
    2
48*x
$$48 x^{2}$$
Simplify
The third derivative [src] 
96*x
$$96 x$$
Simplify
The graph
Derivative of 4*x^4
    © Mister Exam – Calculator