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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

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The solution

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   2      
4*x  - 5*x
4x2−5x4 x^{2} - 5 x 
d /   2      \
--\4*x  - 5*x/
dx
ddx(4x2−5x)\frac{d}{d x} \left(4 x^{2} - 5 x\right)
Transform
Detail solution

  1. Differentiate 4x2−5x4 x^{2} - 5 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: x2x^{2} goes to 2x2 x

      So, the result is: 8x8 x

    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: xx goes to 11

        So, the result is: 55

      So, the result is: −5-5

    The result is: 8x−58 x - 5

The answer is:

8x−58 x - 5

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-5 + 8*x
8x−58 x - 5
Simplify
The second derivative [src] 
8
88
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of 4x^2-5x
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