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Derivative of:
Derivative of -(3*pi*cos(pi*t/6))/2
Derivative of x*x^(1/2)
Derivative of x*sqrt(3-x)
Derivative of x^(sin(x))
Factor polynomial:
x^2+3*x+2
Graphing y =:
x^2+3*x+2
Factor squared:
x^2+3*x+2
Identical expressions
x^ two + three *x+ two
x squared plus 3 multiply by x plus 2
x to the power of two plus three multiply by x plus two
x2+3*x+2
x²+3*x+2
x to the power of 2+3*x+2
x^2+3x+2
x2+3x+2
Similar expressions
x^2+3*x-2
x^3+3x^2+3x+2
x^2-3*x+2

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

Derivative of x^2+3*x+2

The solution

You have entered [src]

 2          
x  + 3*x + 2

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

x^2 + 3*x + 2

Detail solution

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