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f(x)=5x^2-2x+3

Derivative of f(x)=5x^2-2x+3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2          
5*x  - 2*x + 3
$$5 x^{2} - 2 x + 3$$
d /   2          \
--\5*x  - 2*x + 3/
dx                
$$\frac{d}{d x} \left(5 x^{2} - 2 x + 3\right)$$
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
The first derivative [src]
-2 + 10*x
$$10 x - 2$$
The second derivative [src]
10
$$10$$
The third derivative [src]
0
$$0$$
The graph
Derivative of f(x)=5x^2-2x+3