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f(x)=3-2x-4x^2
The derivative of the function/ f(x)=3-2x-4x^2

Derivative of f(x)=3-2x-4x^2

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

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The solution

You have entered [src] 
             2
3 - 2*x - 4*x
−4x2−2x+3- 4 x^{2} - 2 x + 3 
d /             2\
--\3 - 2*x - 4*x /
dx
ddx(−4x2−2x+3)\frac{d}{d x} \left(- 4 x^{2} - 2 x + 3\right)
Transform
Detail solution

  1. Differentiate −4x2−2x+3- 4 x^{2} - 2 x + 3 term by term:

    1. The derivative of the constant 33 is zero.

    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: 22

      So, the result is: −2-2

    3. 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: x2x^{2} goes to 2x2 x

        So, the result is: 8x8 x

      So, the result is: −8x- 8 x

    The result is: −8x−2- 8 x - 2

The answer is:

−8x−2- 8 x - 2

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-2 - 8*x
−8x−2- 8 x - 2
Simplify
The second derivative [src] 
-8
−8-8
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of f(x)=3-2x-4x^2
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