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Derivative of:
Derivative of x^(4/5)
Derivative of log(x^2+5)
Derivative of e^(-2*x)
Derivative of asin(2*x)
Integral of d{x}:
2x^2+3x-1
Graphing y =:
2x^2+3x-1
Identical expressions
two x^2+3x- one
2x squared plus 3x minus 1
two x squared plus 3x minus one
2x2+3x-1
2x²+3x-1
2x to the power of 2+3x-1
Similar expressions
2x^2-3x-1
2x^2+3x+1

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

Derivative of 2x^2+3x-1

The solution

You have entered [src]

   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 2x^2+3x-1