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Derivative of:
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Sum of series:
f(x)
Integral of d{x}:
f(x)
x-3x^2
f(x)
Graphing y =:
x-3x^2
Identical expressions
f(x)=x-3x^ two
f(x) equally x minus 3x squared
f(x) equally x minus 3x to the power of two
f(x)=x-3x2
fx=x-3x2
f(x)=x-3x²
f(x)=x-3x to the power of 2
fx=x-3x^2
Similar expressions
f(x)=x+3x^2

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

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

The solution

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       2
x - 3*x

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

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

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

Transform

Detail solution

Differentiate $- 3 x^{2} + x$ term by term:
1. Apply the power rule: $x$ goes to $1$
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: $x^{2}$ goes to $2 x$
    So, the result is: $6 x$
  So, the result is: $- 6 x$
The result is: $1 - 6 x$

The answer is:

$1 - 6 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

1 - 6*x

$$1 - 6 x$$

Simplify

The second derivative [src]

-6

$$-6$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

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