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

Derivative of 2x^4+x

The solution

You have entered [src]

   4    
2*x  + x

$$2 x^{4} + x$$

2*x^4 + x

Detail solution

Differentiate $2 x^{4} + x$ 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: $8 x^{3}$
2. Apply the power rule: $x$ goes to $1$
The result is: $8 x^{3} + 1$

The answer is:

$8 x^{3} + 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       3
1 + 8*x

$$8 x^{3} + 1$$

Simplify

The second derivative [src]

    2
24*x

$$24 x^{2}$$

Simplify

The third derivative [src]

48*x

$$48 x$$

Simplify