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Derivative of:
Derivative of f(x)=3-2x-4x^2
Derivative of e^(2t)cost+e^(2t)sint
Derivative of ln^2
Derivative of xsin(2x)
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Identical expressions
f(x)= three - two x-4x^2
f(x) equally 3 minus 2x minus 4x squared
f(x) equally three minus two x minus 4x squared
f(x)=3-2x-4x2
fx=3-2x-4x2
f(x)=3-2x-4x²
f(x)=3-2x-4x to the power of 2
fx=3-2x-4x^2
Similar expressions
f(x)=3+2x-4x^2
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

The solution

You have entered [src]

             2
3 - 2*x - 4*x

$$- 4 x^{2} - 2 x + 3$$

d /             2\
--\3 - 2*x - 4*x /
dx

$$\frac{d}{d x} \left(- 4 x^{2} - 2 x + 3\right)$$

Transform

Detail solution

Differentiate $- 4 x^{2} - 2 x + 3$ term by term:
1. The derivative of the constant $3$ 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: $x$ goes to $1$
    So, the result is: $2$
  So, the result is: $-2$
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: $x^{2}$ goes to $2 x$
    So, the result is: $8 x$
  So, the result is: $- 8 x$
The result is: $- 8 x - 2$

The answer is:

$- 8 x - 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2 - 8*x

$$- 8 x - 2$$

Simplify

The second derivative [src]

-8

$$-8$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

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