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Derivative of:
Derivative of tgx^2
Derivative of y=x*arcsin(x)+sqrt(1-x^2)
Derivative of y=ln^4sinx
Derivative of f(x)=3x^3-x
Sum of series:
f(x)
Integral of d{x}:
f(x)
3x^3-x
f(x)
Graphing y =:
3x^3-x
Identical expressions
f(x)= three x^3-x
f(x) equally 3x cubed minus x
f(x) equally three x cubed minus x
f(x)=3x3-x
fx=3x3-x
f(x)=3x³-x
f(x)=3x to the power of 3-x
fx=3x^3-x
Similar expressions
f(x)=3x^3+x

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

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

The solution

You have entered [src]

   3    
3*x  - x

$$3 x^{3} - x$$

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

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

Transform

Detail solution

Differentiate $3 x^{3} - x$ 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: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $9 x^{2}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $-1$
The result is: $9 x^{2} - 1$

The answer is:

$9 x^{2} - 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-1 + 9*x

$$9 x^{2} - 1$$

Simplify

The second derivative [src]

18*x

$$18 x$$

Simplify

The third derivative [src]

$$18$$

Simplify

The graph

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