Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of x^(4/5)
Derivative of e^x^x
Derivative of 5e^x
Derivative of (-2)/x^2
Identical expressions
sixteen - four *x^ two
16 minus 4 multiply by x squared
sixteen minus four multiply by x to the power of two
16-4*x2
16-4*x²
16-4*x to the power of 2
16-4x^2
16-4x2
Similar expressions
16+4*x^2

The derivative of the function/ 16-4*x^2

Derivative of 16-4*x^2

The solution

You have entered [src]

        2
16 - 4*x

$$16 - 4 x^{2}$$

16 - 4*x^2

Detail solution

Differentiate $16 - 4 x^{2}$ term by term:
1. The derivative of the constant $16$ 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: $x^{2}$ goes to $2 x$
  So, the result is: $- 8 x$
The result is: $- 8 x$

The answer is:

$- 8 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-8*x

$$- 8 x$$

Simplify

The second derivative [src]

-8

$$-8$$

Simplify

The third derivative [src]

$$0$$

Simplify