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5x^2-4x+9
The derivative of the function/ 5x^2-4x+9

Derivative of 5x^2-4x+9

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   2          
5*x  - 4*x + 9
$$5 x^{2} - 4 x + 9$$ 
d /   2          \
--\5*x  - 4*x + 9/
dx
$$\frac{d}{d x} \left(5 x^{2} - 4 x + 9\right)$$
Transform
Detail solution

  1. Differentiate 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: goes to

      So, the result is:

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: goes to

        So, the result is:

      So, the result is:

    3. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-4 + 10*x
$$10 x - 4$$
Simplify
The second derivative [src] 
10
$$10$$
Simplify
The third derivative [src] 
0
$$0$$
Simplify
The graph
Derivative of 5x^2-4x+9
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