Mister Exam

Derivative of y=7x+x^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
       4
7*x + x 
$$x^{4} + 7 x$$
7*x + x^4
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. Apply the power rule: goes to

    The result is:


The answer is:

The graph
The first derivative [src]
       3
7 + 4*x 
$$4 x^{3} + 7$$
The second derivative [src]
    2
12*x 
$$12 x^{2}$$
The third derivative [src]
24*x
$$24 x$$
The graph
Derivative of y=7x+x^4