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Derivative of:
Derivative of (2*x-3)*cos(x)-2*sin(x)+5
Derivative of y=3x^2
Derivative of y=(x+2)²(2x-1)³
Derivative of y=5x-6
Identical expressions
three *x^ two - six *x
3 multiply by x squared minus 6 multiply by x
three multiply by x to the power of two minus 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
3x^2-6x+6
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

d /   2      \
--\3*x  - 6*x/
dx

\frac{d}{d x} \left(3 x^{2} - 6 x\right)

Transform

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. 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: $6$
  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

The graph

Derivative of 3*x^2-6*x