Mister Exam

Other calculators

y=x⁴+3x
The derivative of the function/ y=x⁴+3x

Derivative of y=x⁴+3x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 4      
x  + 3*x
$$x^{4} + 3 x$$ 
x^4 + 3*x
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. 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 result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       3
3 + 4*x
$$4 x^{3} + 3$$
Simplify
The second derivative [src] 
    2
12*x
$$12 x^{2}$$
Simplify
The third derivative [src] 
24*x
$$24 x$$
Simplify
The graph
Derivative of y=x⁴+3x
    © Mister Exam – Calculator