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Derivative of:
Derivative of x^x^x
Derivative of x^-6
Derivative of x^-11
Derivative of y=3x²+5x+4
Graphing y =:
3x^3+3
Identical expressions
y= three x^ three +3
y equally 3x cubed plus 3
y equally three x to the power of three plus 3
y=3x3+3
y=3x³+3
y=3x to the power of 3+3
Similar expressions
y=3x^3-3

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

Derivative of y=3x^3+3

The solution

You have entered [src]

   3    
3*x  + 3

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

3*x^3 + 3

Detail solution

Differentiate $3 x^{3} + 3$ 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: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $9 x^{2}$
2. The derivative of the constant $3$ is zero.
The result is: $9 x^{2}$

The answer is:

$9 x^{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   2
9*x

$$9 x^{2}$$

Simplify

The second derivative [src]

18*x

$$18 x$$

Simplify

The third derivative [src]

$$18$$

Simplify

The graph

Derivative of y=3x^3+3