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

Derivative of x^4+1

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

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The solution

You have entered [src] 
 4    
x  + 1
x4+1x^{4} + 1 
d / 4    \
--\x  + 1/
dx
ddx(x4+1)\frac{d}{d x} \left(x^{4} + 1\right)
Transform
Detail solution

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

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

    2. The derivative of the constant 11 is zero.

    The result is: 4x34 x^{3}

The answer is:

4x34 x^{3}

The graph
02468-8-6-4-2-1010-2000020000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   3
4*x
4x34 x^{3}
Simplify
The second derivative [src] 
    2
12*x
12x212 x^{2}
Simplify
The third derivative [src] 
24*x
24x24 x
Simplify
The graph
Derivative of x^4+1
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