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Derivative of:
Derivative of x^(-2)
Derivative of (x^2-1)^3
Derivative of sqrt(1/x)
Derivative of sin(x)^(9)
Factor squared:
2*x^2-3*x+1
Factor polynomial:
2*x^2-3*x+1
Identical expressions
two *x^ two - three *x+ one
2 multiply by x squared minus 3 multiply by x plus 1
two multiply by x to the power of two minus three multiply by x plus one
2*x2-3*x+1
2*x²-3*x+1
2*x to the power of 2-3*x+1
2x^2-3x+1
2x2-3x+1
Similar expressions
2*x^2+3*x+1
2*x^2-3*x-1

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

Derivative of 2x^2-3x+1

The solution

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   2          
2*x  - 3*x + 1

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

2*x^2 - 3*x + 1

Detail solution

Differentiate $\left(2 x^{2} - 3 x\right) + 1$ term by term:
1. Differentiate $2 x^{2} - 3 x$ 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: $4 x$
  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: $-3$
  The result is: $4 x - 3$
2. The derivative of the constant $1$ is zero.
The result is: $4 x - 3$

The answer is:

$4 x - 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-3 + 4*x

$$4 x - 3$$

Simplify

The second derivative [src]

$$4$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

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