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Derivative of:
Derivative of (x^4+5)^cot(x)
Derivative of x^3-3x^2+2
Derivative of x^2*e^(3-2*x)*log(2)^x
Derivative of (x+1)/x
Factor squared:
x^2+3*x+5
Identical expressions
x^ two + three *x+ five
x squared plus 3 multiply by x plus 5
x to the power of two plus three multiply by x plus five
x2+3*x+5
x²+3*x+5
x to the power of 2+3*x+5
x^2+3x+5
x2+3x+5
Similar expressions
x^2-3*x+5
x^2+3*x-5

The derivative of the function/ x^2+3*x+5

Derivative of x^2+3*x+5

The solution

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 2          
x  + 3*x + 5

$$\left(x^{2} + 3 x\right) + 5$$

x^2 + 3*x + 5

Detail solution

Differentiate $\left(x^{2} + 3 x\right) + 5$ term by term:
1. Differentiate $x^{2} + 3 x$ 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: $3$
  The result is: $2 x + 3$
2. The derivative of the constant $5$ 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+3*x+5