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Graphing y =:
100-x^2
Identical expressions
one hundred -x^ two
100 minus x squared
one hundred minus x to the power of two
100-x2
100-x²
100-x to the power of 2
Similar expressions
100+x^2

The derivative of the function/ 100-x^2

Derivative of 100-x^2

The solution

You have entered [src]

       2
100 - x

$$100 - x^{2}$$

d /       2\
--\100 - x /
dx

$$\frac{d}{d x} \left(100 - x^{2}\right)$$

Transform

Detail solution

Differentiate $100 - x^{2}$ term by term:
1. The derivative of the constant $100$ 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 100-x^2