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x^5-32
The derivative of the function/ x^5-32

Derivative of x^5-32

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 5     
x  - 32
$$x^{5} - 32$$ 
d / 5     \
--\x  - 32/
dx
$$\frac{d}{d x} \left(x^{5} - 32\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   4
5*x
$$5 x^{4}$$
Simplify
The second derivative [src] 
    3
20*x
$$20 x^{3}$$
Simplify
The third derivative [src] 
    2
60*x
$$60 x^{2}$$
Simplify
3-th derivative [src] 
    2
60*x
$$60 x^{2}$$
Simplify
The graph
Derivative of x^5-32
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