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Derivative of:
Derivative of 1/3*x^3
Derivative of x*x^(1/2)
Derivative of x^(5/2)
Derivative of (x-4)^2
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 plus 4x squared
f(x) equally three minus two x plus 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
f*(x)

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

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

The solution

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             2
3 - 2*x + 4*x

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

3 - 2*x + 4*x^2

Detail solution

Differentiate $4 x^{2} + \left(3 - 2 x\right)$ term by term:
1. Differentiate $3 - 2 x$ 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. Apply the power rule: $x$ goes to $1$
    So, the result is: $-2$
  The result is: $-2$
2. 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: $8 x$
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]

$$8$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

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