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Derivative of:
Derivative of x^12
Derivative of e^(2*x)*cos(x)
Derivative of 5e^x
Derivative of 3sinx
Canonical form:
x^3+4*x
Graphing y =:
x^3+4*x
Factor polynomial:
x^3+4*x
Identical expressions
x^ three + four *x
x cubed plus 4 multiply by x
x to the power of three plus four multiply by x
x3+4*x
x³+4*x
x to the power of 3+4*x
x^3+4x
x3+4x
Similar expressions
x(x^3+4x^2-1)
x^6-5x^3+4x+7
x^3-4*x
(5x^3+4x+2)*ctan(2x)
y=-x^3+4x^-2+7x
y=-x^3+4x+5

The derivative of the function/ x^3+4*x

Derivative of x^3+4*x

The solution

You have entered [src]

 3      
x  + 4*x

x^{3} + 4 x

x^3 + 4*x

Detail solution

Differentiate $x^{3} + 4 x$ term by term:
1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $4$
The result is: $3 x^{2} + 4$

The answer is:

3 x^{2} + 4

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       2
4 + 3*x

3 x^{2} + 4

Simplify

The second derivative [src]

6*x

6 x

Simplify

The third derivative [src]

6

Simplify

The graph

Derivative of x^3+4*x