Derivative of y=x¹⁰⁰-100

You have entered [src]

 100      
x    - 100

$$x^{100} - 100$$

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

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

Transform

Detail solution

Differentiate $x^{100} - 100$ term by term:
1. Apply the power rule: $x^{100}$ goes to $100 x^{99}$
2. The derivative of the constant $\left(-1\right) 100$ is zero.
The result is: $100 x^{99}$

The answer is:

$100 x^{99}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

     99
100*x

$$100 x^{99}$$

Simplify

The second derivative [src]

      98
9900*x

$$9900 x^{98}$$

Simplify

The third derivative [src]

        97
970200*x

$$970200 x^{97}$$

Simplify

3-th derivative [src]

        97
970200*x

$$970200 x^{97}$$

Simplify

The graph