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Derivative of:
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Derivative of sqrt(x-1)/(sqrt(x^2-x)-1)
Derivative of 5*tan(x)
Derivative of (4x+1)/(3x-1)
Equation:
x^2+2x-3
Integral of d{x}:
x^2+2x-3
Canonical form:
x^2+2x-3
Identical expressions
y=x^ two +2x- three
y equally x squared plus 2x minus 3
y equally x to the power of two plus 2x minus three
y=x2+2x-3
y=x²+2x-3
y=x to the power of 2+2x-3
Similar expressions
y=x^2-2x-3
y=x^2+2x+3

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

Derivative of y=x^2+2x-3

The solution

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 2          
x  + 2*x - 3

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

x^2 + 2*x - 3

Detail solution

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

The answer is:

$2 x + 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2 + 2*x

$$2 x + 2$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=x^2+2x-3