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

Derivative of 2x^2+3x

The solution

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   2      
2*x  + 3*x

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

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

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

Transform

Detail solution

Differentiate $2 x^{2} + 3 x$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $4 x$
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: $4 x + 3$

The answer is:

$4 x + 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

3 + 4*x

$$4 x + 3$$

Simplify

The second derivative [src]

$$4$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of 2x^2+3x