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y=x¹⁰⁰-100
The derivative of the function/ y=x¹⁰⁰-100

Derivative of y=x¹⁰⁰-100

Function f() - derivative -N order at the point
v

The graph:

from to

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The solution

You have entered [src] 
 100      
x    - 100
x100−100x^{100} - 100 
d / 100      \
--\x    - 100/
dx
ddx(x100−100)\frac{d}{d x} \left(x^{100} - 100\right)
Transform
Detail solution

  1. Differentiate x100−100x^{100} - 100 term by term:

    1. Apply the power rule: x100x^{100} goes to 100x99100 x^{99}

    2. The derivative of the constant (−1)100\left(-1\right) 100 is zero.

    The result is: 100x99100 x^{99}

The answer is:

100x99100 x^{99}

The graph
02468-8-6-4-2-10102e101-1e101
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     99
100*x
100x99100 x^{99}
Simplify
The second derivative [src] 
      98
9900*x
9900x989900 x^{98}
Simplify
The third derivative [src] 
        97
970200*x
970200x97970200 x^{97}
Simplify
3-th derivative [src] 
        97
970200*x
970200x97970200 x^{97}
Simplify
The graph
Derivative of y=x¹⁰⁰-100
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