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Derivative of:
Derivative of y=x^3+2x
Derivative of tg(2x)
Derivative of y=(x²+4)²(2x³-1)³
Derivative of y=2x³
Graphing y =:
x^3+2x
Integral of d{x}:
x^3+2x
Identical expressions
y=x^ three +2x
y equally x cubed plus 2x
y equally x to the power of three plus 2x
y=x3+2x
y=x³+2x
y=x to the power of 3+2x
Similar expressions
y(x)=5x^3+2x^2+3x-1/2
y=x^3-2x

The derivative of the function/ y=x^3+2x

Derivative of y=x^3+2x

The solution

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 3      
x  + 2*x

$$x^{3} + 2 x$$

d / 3      \
--\x  + 2*x/
dx

$$\frac{d}{d x} \left(x^{3} + 2 x\right)$$

Transform

Detail solution

Differentiate $x^{3} + 2 x$ 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: $2$
The result is: $3 x^{2} + 2$

The answer is:

$3 x^{2} + 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       2
2 + 3*x

$$3 x^{2} + 2$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of y=x^3+2x