Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of f(x)=x^3
Derivative of (-6)/x^4
Derivative of 5/x^3
Derivative of y=√4-x^2
Graphing y =:
√4-x^2
Integral of d{x}:
√4-x^2
Identical expressions
y=√ four -x^ two
y equally √4 minus x squared
y equally √ four minus x to the power of two
y=√4-x2
y=√4-x²
y=√4-x to the power of 2
Similar expressions
y=√4+x^2

The derivative of the function/ y=√4-x^2

Derivative of y=√4-x^2

The solution

You have entered [src]

  ___    2
\/ 4  - x

$$- x^{2} + \sqrt{4}$$

d /  ___    2\
--\\/ 4  - x /
dx

$$\frac{d}{d x} \left(- x^{2} + \sqrt{4}\right)$$

Transform

Detail solution

Differentiate $- x^{2} + \sqrt{4}$ term by term:
1. The derivative of the constant $\sqrt{4}$ 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: $- 2 x$
The result is: $- 2 x$

The answer is:

$- 2 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2*x

$$- 2 x$$

Simplify

The second derivative [src]

-2

$$-2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=√4-x^2