Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of (2*x-3)*cos(x)-2*sin(x)+5
Derivative of 2^3*sqrt(x)
Derivative of 2*e^(2*x)
Derivative of 2-3*x-6*x^2
Identical expressions
two - three *x- six *x^ two
2 minus 3 multiply by x minus 6 multiply by x squared
two minus three multiply by x minus six multiply by x to the power of two
2-3*x-6*x2
2-3*x-6*x²
2-3*x-6*x to the power of 2
2-3x-6x^2
2-3x-6x2
Similar expressions
2-3*x+6*x^2
2+3*x-6*x^2

The derivative of the function/ 2-3*x-6*x^2

Derivative of 2-3x-6x^2

The solution

You have entered [src]

             2
2 - 3*x - 6*x

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

2 - 3*x - 6*x^2

Detail solution

Differentiate $- 6 x^{2} + \left(2 - 3 x\right)$ term by term:
1. Differentiate $2 - 3 x$ term by term:
  1. The derivative of the constant $2$ 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: $-3$
  The result is: $-3$
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: $- 12 x$
The result is: $- 12 x - 3$

The answer is:

- 12 x - 3

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-3 - 12*x

- 12 x - 3

Simplify

The second derivative [src]

-12

-12

Simplify

The third derivative [src]

0

Simplify

The graph

Derivative of 2-3*x-6*x^2