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Derivative of:
Derivative of x*sqrt(3-x)
Derivative of x^6/6
Derivative of x^3-3*x
Derivative of x^2+4x
Graphing y =:
3*x^2+6*x
Factor polynomial:
3*x^2+6*x
Identical expressions
three *x^ two + six *x
3 multiply by x squared plus 6 multiply by x
three multiply by x to the power of two plus six multiply by x
3*x2+6*x
3*x²+6*x
3*x to the power of 2+6*x
3x^2+6x
3x2+6x
Similar expressions
y=(x^3)-(3x^2)+6x-2
3*x^2-6*x

The derivative of the function/ 3*x^2+6*x

Derivative of 3x^2+6x

The solution

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   2      
3*x  + 6*x

$$3 x^{2} + 6 x$$

3*x^2 + 6*x

Detail solution

Differentiate $3 x^{2} + 6 x$ 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: $x^{2}$ goes to $2 x$
  So, the result is: $6 x$
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: $6$
The result is: $6 x + 6$

The answer is:

$6 x + 6$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

6 + 6*x

$$6 x + 6$$

Simplify

The second derivative [src]

$$6$$

Simplify

The third derivative [src]

$$0$$

Simplify