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Derivative of:
Derivative of x^12
Derivative of e^-1
Derivative of sin^3*x
Derivative of sen2x
Factor polynomial:
x^2+5*x-9
Factor squared:
x^2+5*x-9
Identical expressions
y=x^ two + five *x- nine
y equally x squared plus 5 multiply by x minus 9
y equally x to the power of two plus five multiply by x minus nine
y=x2+5*x-9
y=x²+5*x-9
y=x to the power of 2+5*x-9
y=x^2+5x-9
y=x2+5x-9
Similar expressions
y=x^2+5*x+9
y=x^2-5*x-9

The derivative of the function/ y=x^2+5*x-9

Derivative of y=x^2+5*x-9

The solution

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 2          
x  + 5*x - 9

$$\left(x^{2} + 5 x\right) - 9$$

x^2 + 5*x - 9

Detail solution

Differentiate $\left(x^{2} + 5 x\right) - 9$ term by term:
1. Differentiate $x^{2} + 5 x$ 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: $5$
  The result is: $2 x + 5$
2. The derivative of the constant $-9$ is zero.
The result is: $2 x + 5$

The answer is:

$2 x + 5$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

5 + 2*x

$$2 x + 5$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=x^2+5*x-9