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Derivative of:
Derivative of 4*e^(2*x)
Derivative of -(3*pi*cos(pi*t/6))/2
Derivative of (2x-1)^3
Derivative of (1-2*x)^3
Graphing y =:
3*x^2-12
Factor polynomial:
3*x^2-12
Identical expressions
three *x^ two - twelve
3 multiply by x squared minus 12
three multiply by x to the power of two minus twelve
3*x2-12
3*x²-12
3*x to the power of 2-12
3x^2-12
3x2-12
Similar expressions
t(x)=2x^3+3x^2-12x
3x^2-12*sqrt(x)
3*x^2+12

The derivative of the function/ 3*x^2-12

Derivative of 3*x^2-12

The solution

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   2     
3*x  - 12

$$3 x^{2} - 12$$

3*x^2 - 12

Detail solution

Differentiate $3 x^{2} - 12$ 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 the constant $-12$ is zero.
The result is: $6 x$

The answer is:

$6 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

6*x

$$6 x$$

Simplify

The second derivative [src]

$$6$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of 3*x^2-12