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Derivative of:
Derivative of x*cos(x)
Derivative of atan(x)
Derivative of x*2
Derivative of x^4*sin(x)
Sum of series:
f(x)
Integral of d{x}:
f(x)
f(x)
Graphing y =:
2x^2-x-1
Canonical form:
2x^2-x-1
Identical expressions
f(x)= two x^2-x- one
f(x) equally 2x squared minus x minus 1
f(x) equally two x squared minus x minus one
f(x)=2x2-x-1
fx=2x2-x-1
f(x)=2x²-x-1
f(x)=2x to the power of 2-x-1
fx=2x^2-x-1
Similar expressions
f(x)=2x^2-x+1
f(x)=2x^2+x-1

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

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

The solution

You have entered [src]

   2        
2*x  - x - 1

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

d /   2        \
--\2*x  - x - 1/
dx

$$\frac{d}{d x} \left(2 x^{2} - x - 1\right)$$

Transform

Detail solution

Differentiate $2 x^{2} - x - 1$ 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: $x^{2}$ goes to $2 x$
  So, the result is: $4 x$
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: $-1$
3. The derivative of the constant $\left(-1\right) 1$ is zero.
The result is: $4 x - 1$

The answer is:

$4 x - 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-1 + 4*x

$$4 x - 1$$

Simplify

The second derivative [src]

$$4$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

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