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x^2+x^4
The derivative of the function/ x^2+x^4

Derivative of x^2+x^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2    4
x  + x
x4+x2x^{4} + x^{2} 
x^2 + x^4
Detail solution

  1. Differentiate x4+x2x^{4} + x^{2} term by term:

    1. Apply the power rule: x2x^{2} goes to 2x2 x

    2. Apply the power rule: x4x^{4} goes to 4x34 x^{3}

    The result is: 4x3+2x4 x^{3} + 2 x

The answer is:

4x3+2x4 x^{3} + 2 x

The graph
02468-8-6-4-2-1010-2000020000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         3
2*x + 4*x
4x3+2x4 x^{3} + 2 x
Simplify
The second derivative [src] 
  /       2\
2*\1 + 6*x /
2(6x2+1)2 \left(6 x^{2} + 1\right)
Simplify
The third derivative [src] 
24*x
24x24 x
Simplify
The graph
Derivative of x^2+x^4
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