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

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

Derivative of x^2+3x-1

The solution

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 2          
x  + 3*x - 1

$$x^{2} + 3 x - 1$$

d / 2          \
--\x  + 3*x - 1/
dx

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

Transform

Detail solution

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

The answer is:

$2 x + 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

3 + 2*x

$$2 x + 3$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2+3x-1