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Derivative of:
Derivative of x^(1/x)
Derivative of 1/(1+x^2)
Derivative of sin(x)^cos(x)
Derivative of -5
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Graphing y =:
2x^3-1
Identical expressions
f(x)=2x^ three - one
f(x) equally 2x cubed minus 1
f(x) equally 2x to the power of three minus one
f(x)=2x3-1
fx=2x3-1
f(x)=2x³-1
f(x)=2x to the power of 3-1
fx=2x^3-1
Similar expressions
f(x)=2x^3+1

The derivative of the function/ f(x)=2x^3-1

Derivative of f(x)=2x^3-1

The solution

You have entered [src]

   3    
2*x  - 1

$$2 x^{3} - 1$$

Transform

Detail solution

Differentiate $2 x^{3} - 1$ 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: $6 x^{2}$
2. The derivative of the constant $-1$ is zero.
The result is: $6 x^{2}$

The answer is:

$6 x^{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   2
6*x

$$6 x^{2}$$

Simplify

The second derivative [src]

12*x

$$12 x$$

Simplify

The third derivative [src]

$$12$$

Simplify

The graph

Derivative of f(x)=2x^3-1