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Derivative of:
Derivative of x^-6
Derivative of x*2^x
Derivative of e^sin(x)*cos(x)
Derivative of e^cot(x)
Graphing y =:
2x^3-3x^2+1
Integral of d{x}:
2x^3-3x^2+1
Identical expressions
two x^ three -3x^2+ one
2x cubed minus 3x squared plus 1
two x to the power of three minus 3x squared plus one
2x3-3x2+1
2x³-3x²+1
2x to the power of 3-3x to the power of 2+1
Similar expressions
2x^3+3x^2+1
2x^3-3x^2-1

The derivative of the function/ 2x^3-3x^2+1

Derivative of 2x^3-3x^2+1

The solution

You have entered [src]

   3      2    
2*x  - 3*x  + 1

$$\left(2 x^{3} - 3 x^{2}\right) + 1$$

2*x^3 - 3*x^2 + 1

Detail solution

Differentiate $\left(2 x^{3} - 3 x^{2}\right) + 1$ term by term:
1. Differentiate $2 x^{3} - 3 x^{2}$ 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: $6 x^{2}$
  2. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x^{2}$ goes to $2 x$
    So, the result is: $- 6 x$
  The result is: $6 x^{2} - 6 x$
2. The derivative of the constant $1$ is zero.
The result is: $6 x^{2} - 6 x$
Now simplify:

$6 x \left(x - 1\right)$

The answer is:

$6 x \left(x - 1\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-6*x + 6*x

$$6 x^{2} - 6 x$$

Simplify

The second derivative [src]

6*(-1 + 2*x)

$$6 \left(2 x - 1\right)$$

Simplify

The third derivative [src]

$$12$$

Simplify