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Derivative of:
Derivative of y=2x-1
Derivative of x-ln(1+x)
Derivative of x*(1-x)
Derivative of f(x)=1/4x^4+x
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Identical expressions
f(x)= one / four x^4+x
f(x) equally 1 divide by 4x to the power of 4 plus x
f(x) equally one divide by four x to the power of 4 plus x
f(x)=1/4x4+x
fx=1/4x4+x
f(x)=1/4x⁴+x
fx=1/4x^4+x
f(x)=1 divide by 4x^4+x
Similar expressions
f(x)=1/4x^4-x

The derivative of the function/ f(x)=1/4x^4+x

Derivative of f(x)=1/4x^4+x

The solution

You have entered [src]

 4    
x     
-- + x
4

$$\frac{x^{4}}{4} + x$$

x^4/4 + x

Detail solution

Differentiate $\frac{x^{4}}{4} + x$ 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: $x^{4}$ goes to $4 x^{3}$
  So, the result is: $x^{3}$
2. Apply the power rule: $x$ goes to $1$
The result is: $x^{3} + 1$

The answer is:

$x^{3} + 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

     3
1 + x

$$x^{3} + 1$$

Simplify

The second derivative [src]

   2
3*x

$$3 x^{2}$$

Simplify

The third derivative [src]

6*x

$$6 x$$

Simplify

The graph

Derivative of f(x)=1/4x^4+x