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Derivative of:
Derivative of e^(2-x)
Derivative of x^(4/5)
Derivative of f(x)=5
Derivative of 2/x²
Integral of d{x}:
3*x^2-2*x+1
Factor squared:
3*x^2-2*x+1
Factor polynomial:
3*x^2-2*x+1
Identical expressions
three *x^ two - two *x+ one
3 multiply by x squared minus 2 multiply by x plus 1
three multiply by x to the power of two minus two multiply by x plus one
3*x2-2*x+1
3*x²-2*x+1
3*x to the power of 2-2*x+1
3x^2-2x+1
3x2-2x+1
Similar expressions
y=x^4+3x^2-2x+1
3*x^2-2*x-1
y=e^((3*x^2-2x+1))
3*x^2+2*x+1

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

Derivative of 3x^2-2x+1

The solution

You have entered [src]

   2          
3*x  - 2*x + 1

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

3*x^2 - 2*x + 1

Detail solution

Differentiate $\left(3 x^{2} - 2 x\right) + 1$ term by term:
1. Differentiate $3 x^{2} - 2 x$ 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: $-2$
  The result is: $6 x - 2$
2. The derivative of the constant $1$ is zero.
The result is: $6 x - 2$

The answer is:

$6 x - 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2 + 6*x

$$6 x - 2$$

Simplify

The second derivative [src]

$$6$$

Simplify

The third derivative [src]

$$0$$

Simplify