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

Derivative of 4x^2-5x

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

The graph:

from to

Piecewise:

The solution

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

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-5 + 8*x
$$8 x - 5$$
Simplify
The second derivative [src] 
8
$$8$$
Simplify
The third derivative [src] 
0
$$0$$
Simplify
The graph
Derivative of 4x^2-5x
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