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Derivative of:
Derivative of u
Derivative of e^(2*cos(t)^(2)-2*sin(t)^(2))
Derivative of cos(sqrt(x))
Derivative of 2*cos(x)
Integral of d{x}:
4-x^2
Graphing y =:
4-x^2
Limit of the function:
4-x^2
Identical expressions
four -x^ two
4 minus x squared
four minus x to the power of two
4-x2
4-x²
4-x to the power of 2
Similar expressions
4+x^2
y=x^4-x^2+2x+3

The derivative of the function/ 4-x^2

Derivative of 4-x^2

The solution

You have entered [src]

     2
4 - x

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

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

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

Transform

Detail solution

Differentiate $4 - x^{2}$ term by term:
1. The derivative of the constant $4$ 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 4-x^2